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Finding the Fourth Proportional to 6,520.33, 9,781.40 and 2,138.23

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Solution

The fourth proportional to 6,520.33, 9,781.40 and 2,138.23 is: 3,207.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.33 : 9,781.40 = 2,138.23 : x
  2. Step 2: Convert to fraction form
    6,520.33/9,781.40 = 2,138.23/x
  3. Step 3: Cross multiply
    6,520.33x = 9,781.40 × 2,138.23
  4. Step 4: Simplify right side
    6,520.33x = 20,914,882.92
  5. Step 5: Solve for x
    x = 20,914,882.92/6,520.33
  6. Step 6: Final answer
    x = 3,207.64

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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.