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Finding the Fourth Proportional to 6,425.92, 9,639.84 and 2,042.56

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Solution

The fourth proportional to 6,425.92, 9,639.84 and 2,042.56 is: 3,064.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.92 : 9,639.84 = 2,042.56 : x
  2. Step 2: Convert to fraction form
    6,425.92/9,639.84 = 2,042.56/x
  3. Step 3: Cross multiply
    6,425.92x = 9,639.84 × 2,042.56
  4. Step 4: Simplify right side
    6,425.92x = 19,689,951.59
  5. Step 5: Solve for x
    x = 19,689,951.59/6,425.92
  6. Step 6: Final answer
    x = 3,064.15

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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.