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Finding the Fourth Proportional to 6,614.20, 9,922.31 and 2,170.39

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Solution

The fourth proportional to 6,614.20, 9,922.31 and 2,170.39 is: 3,255.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.20 : 9,922.31 = 2,170.39 : x
  2. Step 2: Convert to fraction form
    6,614.20/9,922.31 = 2,170.39/x
  3. Step 3: Cross multiply
    6,614.20x = 9,922.31 × 2,170.39
  4. Step 4: Simplify right side
    6,614.20x = 21,535,282.40
  5. Step 5: Solve for x
    x = 21,535,282.40/6,614.20
  6. Step 6: Final answer
    x = 3,255.92

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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.