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Finding the Fourth Proportional to 6,624.52, 9,142.07 and 3,640.46

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Solution

The fourth proportional to 6,624.52, 9,142.07 and 3,640.46 is: 5,023.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624.52 : 9,142.07 = 3,640.46 : x
  2. Step 2: Convert to fraction form
    6,624.52/9,142.07 = 3,640.46/x
  3. Step 3: Cross multiply
    6,624.52x = 9,142.07 × 3,640.46
  4. Step 4: Simplify right side
    6,624.52x = 33,281,340.15
  5. Step 5: Solve for x
    x = 33,281,340.15/6,624.52
  6. Step 6: Final answer
    x = 5,023.96

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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.