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Finding the Fourth Proportional to 6,490.14, 8,957.01 and 4,132.13

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Solution

The fourth proportional to 6,490.14, 8,957.01 and 4,132.13 is: 5,702.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.14 : 8,957.01 = 4,132.13 : x
  2. Step 2: Convert to fraction form
    6,490.14/8,957.01 = 4,132.13/x
  3. Step 3: Cross multiply
    6,490.14x = 8,957.01 × 4,132.13
  4. Step 4: Simplify right side
    6,490.14x = 37,011,500.44
  5. Step 5: Solve for x
    x = 37,011,500.44/6,490.14
  6. Step 6: Final answer
    x = 5,702.73

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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.