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To solve the equation \(\frac{5}{7} = \frac{x}{9}\) using the Cross-Multiplication Property, we proceed as follows:

1. Set up the cross-multiplication:
   \[
   5 \cdot 9 = 7 \cdot x
   \]

2. Simplify the multiplication on both sides:
   \[
   45 = 7x
   \]

3. Solve for \(x\) by dividing both sides by 7:
   \[
   x = \frac{45}{7}
   \]

4. Simplify (if desired):
   \[
   x \approx 6.43
   \]

Thus, the solution is:
\[
x = \frac{45}{7} \approx 6.43
\]

Would you like more details on any step, or do you have any questions?

### Related Questions
1. What is the Cross-Multiplication Property, and why does it work for solving proportions?
2. How would you set up a cross-multiplication for other proportions, like \(\frac{4}{5} = \frac{y}{12}\)?
3. Can we solve proportions with variables in different places, such as \(\frac{a+2}{6} = \frac{3}{4}\)?
4. How does cross-multiplication apply when both terms in the proportion include variables, e.g., \(\frac{x+1}{3} = \frac{2x-4}{5}\)?
5. How can you check if your solution to a proportion is correct?

### Tip
Always simplify fractions as much as possible after solving, as it helps to confirm the solution is in its simplest form.

Use the Cross-Multiplication Property of Proportions to solve the equation \(\frac{5}{7} = \frac{x}{9}\).

Learn how to solve the proportion \(\frac{5}{7} = \frac{x}{9}\) using the cross-multiplication property. This step-by-step solution helps students understand key algebraic concepts and solve for unknowns in proportions, suitable for Grades 7-8.

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