Question

if \\(\frac{9}{x} = \frac{3}{4}\\), what is x ? options: 6, 15, 9, 12

Explanation:

Step1: Cross - multiply the equation

Given \(\frac{9}{x}=\frac{3}{4}\), cross - multiplying gives \(3x = 9\times4\).

Step2: Solve for \(x\)

Calculate \(9\times4 = 36\), so the equation becomes \(3x=36\). Then divide both sides by 3: \(x=\frac{36}{3}=12\).

Answer:

12 (corresponding to the option with 12, i.e., the right - most option)