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Finding the Fourth Proportional to 6,425.12, 8,867 and 3,906.82

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Solution

The fourth proportional to 6,425.12, 8,867 and 3,906.82 is: 5,391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.12 : 8,867 = 3,906.82 : x
  2. Step 2: Convert to fraction form
    6,425.12/8,867 = 3,906.82/x
  3. Step 3: Cross multiply
    6,425.12x = 8,867 × 3,906.82
  4. Step 4: Simplify right side
    6,425.12x = 34,641,772.94
  5. Step 5: Solve for x
    x = 34,641,772.94/6,425.12
  6. Step 6: Final answer
    x = 5,391.61

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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.