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Finding the Fourth Proportional to 6,517.80, 9,780.20 and 4,327.56

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Solution

The fourth proportional to 6,517.80, 9,780.20 and 4,327.56 is: 6,493.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.80 : 9,780.20 = 4,327.56 : x
  2. Step 2: Convert to fraction form
    6,517.80/9,780.20 = 4,327.56/x
  3. Step 3: Cross multiply
    6,517.80x = 9,780.20 × 4,327.56
  4. Step 4: Simplify right side
    6,517.80x = 42,324,402.31
  5. Step 5: Solve for x
    x = 42,324,402.31/6,517.80
  6. Step 6: Final answer
    x = 6,493.66

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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.