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Finding the Fourth Proportional to 6,397.27, 8,829.68 and 4,155.24

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Solution

The fourth proportional to 6,397.27, 8,829.68 and 4,155.24 is: 5,735.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.27 : 8,829.68 = 4,155.24 : x
  2. Step 2: Convert to fraction form
    6,397.27/8,829.68 = 4,155.24/x
  3. Step 3: Cross multiply
    6,397.27x = 8,829.68 × 4,155.24
  4. Step 4: Simplify right side
    6,397.27x = 36,689,449.91
  5. Step 5: Solve for x
    x = 36,689,449.91/6,397.27
  6. Step 6: Final answer
    x = 5,735.18

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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.