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Finding the Fourth Proportional to 6,553.71, 9,044.16 and 3,900.61

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Solution

The fourth proportional to 6,553.71, 9,044.16 and 3,900.61 is: 5,382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,553.71 : 9,044.16 = 3,900.61 : x
  2. Step 2: Convert to fraction form
    6,553.71/9,044.16 = 3,900.61/x
  3. Step 3: Cross multiply
    6,553.71x = 9,044.16 × 3,900.61
  4. Step 4: Simplify right side
    6,553.71x = 35,277,686.74
  5. Step 5: Solve for x
    x = 35,277,686.74/6,553.71
  6. Step 6: Final answer
    x = 5,382.86

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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.