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Finding the Fourth Proportional to 6,748.43, 9,311.11 and 3,764.27

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Solution

The fourth proportional to 6,748.43, 9,311.11 and 3,764.27 is: 5,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.43 : 9,311.11 = 3,764.27 : x
  2. Step 2: Convert to fraction form
    6,748.43/9,311.11 = 3,764.27/x
  3. Step 3: Cross multiply
    6,748.43x = 9,311.11 × 3,764.27
  4. Step 4: Simplify right side
    6,748.43x = 35,049,545.91
  5. Step 5: Solve for x
    x = 35,049,545.91/6,748.43
  6. Step 6: Final answer
    x = 5,193.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.