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Finding the Fourth Proportional to 6,143.90, 9,217.29 and 1,761.24

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Solution

The fourth proportional to 6,143.90, 9,217.29 and 1,761.24 is: 2,642.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,143.90 : 9,217.29 = 1,761.24 : x
  2. Step 2: Convert to fraction form
    6,143.90/9,217.29 = 1,761.24/x
  3. Step 3: Cross multiply
    6,143.90x = 9,217.29 × 1,761.24
  4. Step 4: Simplify right side
    6,143.90x = 16,233,859.84
  5. Step 5: Solve for x
    x = 16,233,859.84/6,143.90
  6. Step 6: Final answer
    x = 2,642.27

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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.