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Finding the Fourth Proportional to 6,156.86, 9,221.90 and 3,817.44

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Solution

The fourth proportional to 6,156.86, 9,221.90 and 3,817.44 is: 5,717.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.86 : 9,221.90 = 3,817.44 : x
  2. Step 2: Convert to fraction form
    6,156.86/9,221.90 = 3,817.44/x
  3. Step 3: Cross multiply
    6,156.86x = 9,221.90 × 3,817.44
  4. Step 4: Simplify right side
    6,156.86x = 35,204,049.94
  5. Step 5: Solve for x
    x = 35,204,049.94/6,156.86
  6. Step 6: Final answer
    x = 5,717.86

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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.