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Finding the Fourth Proportional to 9,691.49, 14,537.53 and 2,671.62

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Solution

The fourth proportional to 9,691.49, 14,537.53 and 2,671.62 is: 4,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.49 : 14,537.53 = 2,671.62 : x
  2. Step 2: Convert to fraction form
    9,691.49/14,537.53 = 2,671.62/x
  3. Step 3: Cross multiply
    9,691.49x = 14,537.53 × 2,671.62
  4. Step 4: Simplify right side
    9,691.49x = 38,838,755.90
  5. Step 5: Solve for x
    x = 38,838,755.90/9,691.49
  6. Step 6: Final answer
    x = 4,007.51

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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.