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Finding the Fourth Proportional to 6,691.31, 9,233.62 and 3,706.97

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Solution

The fourth proportional to 6,691.31, 9,233.62 and 3,706.97 is: 5,115.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.31 : 9,233.62 = 3,706.97 : x
  2. Step 2: Convert to fraction form
    6,691.31/9,233.62 = 3,706.97/x
  3. Step 3: Cross multiply
    6,691.31x = 9,233.62 × 3,706.97
  4. Step 4: Simplify right side
    6,691.31x = 34,228,707.32
  5. Step 5: Solve for x
    x = 34,228,707.32/6,691.31
  6. Step 6: Final answer
    x = 5,115.40

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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.