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Finding the Fourth Proportional to 6,414.57, 8,853.30 and 3,761.97

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Solution

The fourth proportional to 6,414.57, 8,853.30 and 3,761.97 is: 5,192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.57 : 8,853.30 = 3,761.97 : x
  2. Step 2: Convert to fraction form
    6,414.57/8,853.30 = 3,761.97/x
  3. Step 3: Cross multiply
    6,414.57x = 8,853.30 × 3,761.97
  4. Step 4: Simplify right side
    6,414.57x = 33,305,849.00
  5. Step 5: Solve for x
    x = 33,305,849.00/6,414.57
  6. Step 6: Final answer
    x = 5,192.22

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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.