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Finding the Fourth Proportional to 6,644.52, 9,166.68 and 4,125.78

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Solution

The fourth proportional to 6,644.52, 9,166.68 and 4,125.78 is: 5,691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.52 : 9,166.68 = 4,125.78 : x
  2. Step 2: Convert to fraction form
    6,644.52/9,166.68 = 4,125.78/x
  3. Step 3: Cross multiply
    6,644.52x = 9,166.68 × 4,125.78
  4. Step 4: Simplify right side
    6,644.52x = 37,819,705.01
  5. Step 5: Solve for x
    x = 37,819,705.01/6,644.52
  6. Step 6: Final answer
    x = 5,691.86

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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.