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Finding the Fourth Proportional to 8,489.97, 12,722.67 and 6,029.73

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Solution

The fourth proportional to 8,489.97, 12,722.67 and 6,029.73 is: 9,035.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.97 : 12,722.67 = 6,029.73 : x
  2. Step 2: Convert to fraction form
    8,489.97/12,722.67 = 6,029.73/x
  3. Step 3: Cross multiply
    8,489.97x = 12,722.67 × 6,029.73
  4. Step 4: Simplify right side
    8,489.97x = 76,714,264.98
  5. Step 5: Solve for x
    x = 76,714,264.98/8,489.97
  6. Step 6: Final answer
    x = 9,035.87

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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.