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Finding the Fourth Proportional to 6,218.72, 9,327.68 and 3,446.72

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Solution

The fourth proportional to 6,218.72, 9,327.68 and 3,446.72 is: 5,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,218.72 : 9,327.68 = 3,446.72 : x
  2. Step 2: Convert to fraction form
    6,218.72/9,327.68 = 3,446.72/x
  3. Step 3: Cross multiply
    6,218.72x = 9,327.68 × 3,446.72
  4. Step 4: Simplify right side
    6,218.72x = 32,149,901.21
  5. Step 5: Solve for x
    x = 32,149,901.21/6,218.72
  6. Step 6: Final answer
    x = 5,169.86

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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.