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Finding the Fourth Proportional to 8,702.43, 12,024.41 and 6,471.69

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Solution

The fourth proportional to 8,702.43, 12,024.41 and 6,471.69 is: 8,942.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,702.43 : 12,024.41 = 6,471.69 : x
  2. Step 2: Convert to fraction form
    8,702.43/12,024.41 = 6,471.69/x
  3. Step 3: Cross multiply
    8,702.43x = 12,024.41 × 6,471.69
  4. Step 4: Simplify right side
    8,702.43x = 77,818,253.95
  5. Step 5: Solve for x
    x = 77,818,253.95/8,702.43
  6. Step 6: Final answer
    x = 8,942.13

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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.