Question

solve the following proportion for x.
\\(\frac{9}{x} = \frac{5}{8}\\)
round your answer to the nearest tenth.
\\(x = \square\\)

Explanation:

Step1: Cross - multiply the proportion

Given the proportion $\frac{9}{x}=\frac{5}{8}$, cross - multiplying gives us $5x = 9\times8$.

Step2: Calculate the right - hand side

Calculate $9\times8 = 72$, so the equation becomes $5x=72$.

Step3: Solve for x

Divide both sides of the equation $5x = 72$ by 5. So $x=\frac{72}{5}$.

Step4: Simplify and round

$\frac{72}{5}=14.4$.

Answer:

14.4