Question

which proportion could you use to convert 9 kilograms to grams?
$\frac{100\text{ grams}}{1\text{ kilogram}}=\frac{?\text{ grams}}{9\text{ kilograms}}$
$\frac{1,000\text{ grams}}{1\text{ kilogram}}=\frac{?\text{ grams}}{9\text{ kilograms}}$
convert.
9 kilograms = grams

Explanation:

Step1: Recall conversion factor

We know that 1 kilogram = 1000 grams.

Step2: Set up proportion

The correct proportion is $\frac{1000\text{ grams}}{1\text{ kilogram}}=\frac{x\text{ grams}}{9\text{ kilograms}}$.

Step3: Solve for x

Cross - multiply: $1\times x = 1000\times9$. So $x = 9000$.

Answer:

The proportion $\frac{1,000\text{ grams}}{1\text{ kilogram}}=\frac{?\text{ grams}}{9\text{ kilograms}}$ is correct and 9 kilograms = 9000 grams.