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Finding the Fourth Proportional to 6,691.10, 9,233.78 and 3,706.97

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Solution

The fourth proportional to 6,691.10, 9,233.78 and 3,706.97 is: 5,115.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.10 : 9,233.78 = 3,706.97 : x
  2. Step 2: Convert to fraction form
    6,691.10/9,233.78 = 3,706.97/x
  3. Step 3: Cross multiply
    6,691.10x = 9,233.78 × 3,706.97
  4. Step 4: Simplify right side
    6,691.10x = 34,229,280.74
  5. Step 5: Solve for x
    x = 34,229,280.74/6,691.10
  6. Step 6: Final answer
    x = 5,115.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.