Solve the following proportion for \( y \). \[ \frac{17}{13}=\frac{9}{y} \] Round your answer to the nearest tenth. y=

Solve the equation \( 17/13=9/y \). Solve the equation by following steps: - step0: Solve for \(y\): \(\frac{17}{13}=\frac{9}{y}\) - step1: Find the domain: \(\frac{17}{13}=\frac{9}{y},y\neq 0\) - step2: Swap the sides: \(\frac{9}{y}=\frac{17}{13}\) - step3: Rewrite the expression: \(y=\frac{9\times 13}{17}\) - step4: Divide the terms: \(y=\frac{117}{17}\) - step5: Check if the solution is in the defined range: \(y=\frac{117}{17},y\neq 0\) - step6: Find the intersection: \(y=\frac{117}{17}\) The solution to the proportion \( \frac{17}{13}=\frac{9}{y} \) is \( y=\frac{117}{17} \). To round this answer to the nearest tenth, we calculate \( \frac{117}{17} \) and round it to the nearest tenth. \( \frac{117}{17} \approx 6.882 \) Therefore, the value of \( y \) rounded to the nearest tenth is approximately 6.9.