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Finding the Fourth Proportional to 6,143.77, 9,217.28 and 3,221.29

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Solution

The fourth proportional to 6,143.77, 9,217.28 and 3,221.29 is: 4,832.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.77 : 9,217.28 = 3,221.29 : x
  2. Step 2: Convert to fraction form
    6,143.77/9,217.28 = 3,221.29/x
  3. Step 3: Cross multiply
    6,143.77x = 9,217.28 × 3,221.29
  4. Step 4: Simplify right side
    6,143.77x = 29,691,531.89
  5. Step 5: Solve for x
    x = 29,691,531.89/6,143.77
  6. Step 6: Final answer
    x = 4,832.79

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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.