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Finding the Fourth Proportional to 8,491.70, 12,738.24 and 3,229.25

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Solution

The fourth proportional to 8,491.70, 12,738.24 and 3,229.25 is: 4,844.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,491.70 : 12,738.24 = 3,229.25 : x
  2. Step 2: Convert to fraction form
    8,491.70/12,738.24 = 3,229.25/x
  3. Step 3: Cross multiply
    8,491.70x = 12,738.24 × 3,229.25
  4. Step 4: Simplify right side
    8,491.70x = 41,134,897.83
  5. Step 5: Solve for x
    x = 41,134,897.83/8,491.70
  6. Step 6: Final answer
    x = 4,844.13

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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.