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Finding the Fourth Proportional to 6,512.43, 9,766.20 and 2,815.20

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Solution

The fourth proportional to 6,512.43, 9,766.20 and 2,815.20 is: 4,221.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,512.43 : 9,766.20 = 2,815.20 : x
  2. Step 2: Convert to fraction form
    6,512.43/9,766.20 = 2,815.20/x
  3. Step 3: Cross multiply
    6,512.43x = 9,766.20 × 2,815.20
  4. Step 4: Simplify right side
    6,512.43x = 27,493,806.24
  5. Step 5: Solve for x
    x = 27,493,806.24/6,512.43
  6. Step 6: Final answer
    x = 4,221.74

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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.