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Finding the Fourth Proportional to 6,397.92, 8,829.27 and 3,603.42

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Solution

The fourth proportional to 6,397.92, 8,829.27 and 3,603.42 is: 4,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.92 : 8,829.27 = 3,603.42 : x
  2. Step 2: Convert to fraction form
    6,397.92/8,829.27 = 3,603.42/x
  3. Step 3: Cross multiply
    6,397.92x = 8,829.27 × 3,603.42
  4. Step 4: Simplify right side
    6,397.92x = 31,815,568.10
  5. Step 5: Solve for x
    x = 31,815,568.10/6,397.92
  6. Step 6: Final answer
    x = 4,972.80

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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.