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Finding the Fourth Proportional to 6,216.80, 9,318.24 and 4,761.92

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Solution

The fourth proportional to 6,216.80, 9,318.24 and 4,761.92 is: 7,137.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.80 : 9,318.24 = 4,761.92 : x
  2. Step 2: Convert to fraction form
    6,216.80/9,318.24 = 4,761.92/x
  3. Step 3: Cross multiply
    6,216.80x = 9,318.24 × 4,761.92
  4. Step 4: Simplify right side
    6,216.80x = 44,372,713.42
  5. Step 5: Solve for x
    x = 44,372,713.42/6,216.80
  6. Step 6: Final answer
    x = 7,137.55

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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.