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Finding the Fourth Proportional to 6,691.88, 9,232.55 and 4,171.97

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Solution

The fourth proportional to 6,691.88, 9,232.55 and 4,171.97 is: 5,755.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.88 : 9,232.55 = 4,171.97 : x
  2. Step 2: Convert to fraction form
    6,691.88/9,232.55 = 4,171.97/x
  3. Step 3: Cross multiply
    6,691.88x = 9,232.55 × 4,171.97
  4. Step 4: Simplify right side
    6,691.88x = 38,517,939.49
  5. Step 5: Solve for x
    x = 38,517,939.49/6,691.88
  6. Step 6: Final answer
    x = 5,755.92

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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.