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The given problem states that the ratio of students to professionals is 4:5, and the total number of participants is 45. We are asked to find how many of them are professionals.

Let’s break it down:

### Step 1: Define Variables
- Let the number of students be \( 4x \).
- Let the number of professionals be \( 5x \).

### Step 2: Total Participants Equation
The total number of participants is the sum of students and professionals:
\[
4x + 5x = 45
\]
\[
9x = 45
\]

### Step 3: Solve for \( x \)
Solve for \( x \):
\[
x = \frac{45}{9} = 5
\]

### Step 4: Find the Number of Professionals
The number of professionals is \( 5x \):
\[
5x = 5 \times 5 = 25
\]

### Final Answer:
There are **25 professionals** in the conference.

Do you want more details or have any questions?

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Here are some related questions to explore:

1. What is the number of students in the conference?
2. If the ratio changed to 3:2, how many professionals would be there for 45 participants?
3. How would the total change if there were 60 participants instead of 45, keeping the same ratio?
4. Can you calculate the percentage of professionals in the conference?
5. What would be the number of professionals if the ratio was reversed (5:4)?

**Tip**: When working with ratios, always remember to express both parts of the ratio using the same variable before summing them up to find the total.

The ratio of students to professionals in a conference is 4:5. If there are 45 participants altogether, how many of them are professionals?

Learn how to solve a ratio problem to find the number of professionals in a conference with 45 participants, given a student to professional ratio of 4:5. This solution covers key mathematical concepts like ratios and algebra, suitable for students in Grades 6-8.

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