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Finding the Fourth Proportional to 6,522.33, 9,781.45 and 2,138.77

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Solution

The fourth proportional to 6,522.33, 9,781.45 and 2,138.77 is: 3,207.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.33 : 9,781.45 = 2,138.77 : x
  2. Step 2: Convert to fraction form
    6,522.33/9,781.45 = 2,138.77/x
  3. Step 3: Cross multiply
    6,522.33x = 9,781.45 × 2,138.77
  4. Step 4: Simplify right side
    6,522.33x = 20,920,278.70
  5. Step 5: Solve for x
    x = 20,920,278.70/6,522.33
  6. Step 6: Final answer
    x = 3,207.48

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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.