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Finding the Fourth Proportional to 8,144.97, 12,217.59 and 3,214.57

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Solution

The fourth proportional to 8,144.97, 12,217.59 and 3,214.57 is: 4,821.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,144.97 : 12,217.59 = 3,214.57 : x
  2. Step 2: Convert to fraction form
    8,144.97/12,217.59 = 3,214.57/x
  3. Step 3: Cross multiply
    8,144.97x = 12,217.59 × 3,214.57
  4. Step 4: Simplify right side
    8,144.97x = 39,274,259.71
  5. Step 5: Solve for x
    x = 39,274,259.71/8,144.97
  6. Step 6: Final answer
    x = 4,821.90

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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.