Question

use a proportion to convert the measurement.
9 quarts ≈ \boxed{} liters

Explanation:

Step1: Recall the conversion factor

We know that 1 quart is approximately equal to 0.9464 liters. So we set up a proportion: let \( x \) be the number of liters in 9 quarts. Then \(\frac{1\ \text{quart}}{0.9464\ \text{liters}}=\frac{9\ \text{quarts}}{x\ \text{liters}}\)

Step2: Solve the proportion

Cross - multiply the proportion: \(1\times x = 0.9464\times9\)
Calculate \(0.9464\times9 = 8.5176\)

Answer:

\(8.5176\) (If we want to round to a reasonable decimal place, for example, two decimal places, it would be \(8.52\). But based on the direct calculation from the proportion, the exact value from the multiplication is \(8.5176\))