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Finding the Fourth Proportional to 8,074.14, 12,098.42 and 6,229.77

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Solution

The fourth proportional to 8,074.14, 12,098.42 and 6,229.77 is: 9,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.14 : 12,098.42 = 6,229.77 : x
  2. Step 2: Convert to fraction form
    8,074.14/12,098.42 = 6,229.77/x
  3. Step 3: Cross multiply
    8,074.14x = 12,098.42 × 6,229.77
  4. Step 4: Simplify right side
    8,074.14x = 75,370,342.81
  5. Step 5: Solve for x
    x = 75,370,342.81/8,074.14
  6. Step 6: Final answer
    x = 9,334.78

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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.