https://file.aiquickdraw.com/mathbot/file/17280589287680znl9gi2.jpg

Let's solve the given proportion:

\[
\frac{9}{8} = \frac{x}{4}
\]

To solve for \( x \), we can use cross-multiplication:

\[
9 \cdot 4 = 8 \cdot x
\]

Simplifying the left-hand side:

\[
36 = 8x
\]

Now, divide both sides by 8 to solve for \( x \):

\[
x = \frac{36}{8} = 4.5
\]

Thus, the solution is:

\[
x = 4.5
\]

None of the provided options (18, \( \frac{9}{2} \), \( \frac{89}{25} \), and 36) directly match this result, but \( \frac{9}{2} \) is equivalent to 4.5. Therefore, the correct answer is:

\[
\boxed{\frac{9}{2}}
\]

Would you like further details or have any other questions?

Here are 5 related questions you might find helpful:
1. What are some common strategies for solving proportions?
2. How does cross-multiplication work, and why is it useful in solving proportions?
3. How can I apply proportions in real-life scenarios?
4. What other methods can be used to solve fractional equations?
5. How can I verify the correctness of my solution in similar problems?

**Tip:** Always double-check if the fraction or decimal form of your solution matches the answer choices provided.

Learn how to solve the proportion 9/8 = x/4 using cross-multiplication. This problem involves basic algebraic techniques and proportion theorems, ideal for students in Grades 6-8.

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