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Finding the Fourth Proportional to 6,614.17, 9,966.77 and 5,469.90

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Solution

The fourth proportional to 6,614.17, 9,966.77 and 5,469.90 is: 8,242.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.17 : 9,966.77 = 5,469.90 : x
  2. Step 2: Convert to fraction form
    6,614.17/9,966.77 = 5,469.90/x
  3. Step 3: Cross multiply
    6,614.17x = 9,966.77 × 5,469.90
  4. Step 4: Simplify right side
    6,614.17x = 54,517,245.25
  5. Step 5: Solve for x
    x = 54,517,245.25/6,614.17
  6. Step 6: Final answer
    x = 8,242.49

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.