To solve the equation \( \frac{13.7}{4} = \frac{9t}{3.6} \), we can follow these steps:
Start by simplifying both sides of the equation.
Calculate \( \frac{13.7}{4} \): \[ \frac{13.7}{4} = 3.425 \]
Now the equation looks like this: \[ 3.425 = \frac{9t}{3.6} \]
Multiply both sides by \( 3.6 \) to eliminate the fraction on the right side: \[ 3.425 \times 3.6 = 9t \]
Calculate \( 3.425 \times 3.6 \): \[ 3.425 \times 3.6 = 12.306 \]
So, we have: \[ 12.306 = 9t \]
Now, divide both sides by 9 to solve for \( t \): \[ t = \frac{12.306}{9} \]
Calculate \( \frac{12.306}{9} \): \[ t \approx 1.367 \]
Thus, the solution is: \[ t \approx 1.367 \]