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Finding the Fourth Proportional to 6,700.70, 9,247.46 and 3,717.10

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Solution

The fourth proportional to 6,700.70, 9,247.46 and 3,717.10 is: 5,129.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,700.70 : 9,247.46 = 3,717.10 : x
  2. Step 2: Convert to fraction form
    6,700.70/9,247.46 = 3,717.10/x
  3. Step 3: Cross multiply
    6,700.70x = 9,247.46 × 3,717.10
  4. Step 4: Simplify right side
    6,700.70x = 34,373,691.86
  5. Step 5: Solve for x
    x = 34,373,691.86/6,700.70
  6. Step 6: Final answer
    x = 5,129.87

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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.