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Finding the Fourth Proportional to 6,614.32, 9,912.76 and 3,103.78

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Solution

The fourth proportional to 6,614.32, 9,912.76 and 3,103.78 is: 4,651.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.32 : 9,912.76 = 3,103.78 : x
  2. Step 2: Convert to fraction form
    6,614.32/9,912.76 = 3,103.78/x
  3. Step 3: Cross multiply
    6,614.32x = 9,912.76 × 3,103.78
  4. Step 4: Simplify right side
    6,614.32x = 30,767,026.23
  5. Step 5: Solve for x
    x = 30,767,026.23/6,614.32
  6. Step 6: Final answer
    x = 4,651.58

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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.