I see you've uploaded an image with math-related questions about proportions. Let's go through each question.

Question 9: The ratios are proportionate:
12:9 and 16:12

• To check if the ratios are proportionate, we check if the cross products are equal.
  $12 \times 12 = 144$
  $9 \times 16 = 144$
  Since the products are equal, the ratios are proportionate.
  The answer is True.

Question 10: The ratios are proportionate:
27:48 and 9:16

• Cross products check:
  $27 \times 16 = 432$
  $48 \times 9 = 432$
  Since the products are equal, the ratios are proportionate.
  The answer is True.

Question 11: The ratios are proportionate:
9:15 and 15:24

• Cross products check:
  $9 \times 24 = 216$
  $15 \times 15 = 225$
  Since the products are not equal, the ratios are not proportionate.
  The answer is False.

Question 12: Solve for the unknown in the following proportion:
3/15 = m/6

• We can solve this using cross multiplication:
  $3 \times 6 = 15 \times m$
  $18 = 15m$
  $m = 18 / 15 = 1.2$
  The value of $m$ is 1.2.

Question 13: The ratios are proportionate:
39:65 and 3.5

• We need to compare the ratios:
  $\frac{39}{65} \approx 0.6$
  $\frac{3}{5} = 0.6$
  Since the ratios are equal, they are proportionate.
  The answer is True.

Would you like further details or explanations on any of these steps? Here are some related questions to expand on the concepts:

1. How do we determine whether two ratios are proportionate?
2. Can you explain why cross-multiplication works for proportions?
3. What happens when the cross products do not match?
4. How can you solve proportions involving variables in the numerator or denominator?
5. What are some real-life applications of using proportions?

Tip: When working with proportions, always check cross products to confirm proportionality before solving for unknowns.