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Finding the Fourth Proportional to 9,616.38, 14,425.10 and 2,691.42

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Solution

The fourth proportional to 9,616.38, 14,425.10 and 2,691.42 is: 4,037.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.38 : 14,425.10 = 2,691.42 : x
  2. Step 2: Convert to fraction form
    9,616.38/14,425.10 = 2,691.42/x
  3. Step 3: Cross multiply
    9,616.38x = 14,425.10 × 2,691.42
  4. Step 4: Simplify right side
    9,616.38x = 38,824,002.64
  5. Step 5: Solve for x
    x = 38,824,002.64/9,616.38
  6. Step 6: Final answer
    x = 4,037.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.