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Finding the Fourth Proportional to 6,472.12, 9,711.60 and 2,963.20

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Solution

The fourth proportional to 6,472.12, 9,711.60 and 2,963.20 is: 4,446.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.12 : 9,711.60 = 2,963.20 : x
  2. Step 2: Convert to fraction form
    6,472.12/9,711.60 = 2,963.20/x
  3. Step 3: Cross multiply
    6,472.12x = 9,711.60 × 2,963.20
  4. Step 4: Simplify right side
    6,472.12x = 28,777,413.12
  5. Step 5: Solve for x
    x = 28,777,413.12/6,472.12
  6. Step 6: Final answer
    x = 4,446.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.