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Finding the Fourth Proportional to 8,074.08, 12,098.32 and 6,229.71

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Solution

The fourth proportional to 8,074.08, 12,098.32 and 6,229.71 is: 9,334.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,074.08 : 12,098.32 = 6,229.71 : x
  2. Step 2: Convert to fraction form
    8,074.08/12,098.32 = 6,229.71/x
  3. Step 3: Cross multiply
    8,074.08x = 12,098.32 × 6,229.71
  4. Step 4: Simplify right side
    8,074.08x = 75,369,025.09
  5. Step 5: Solve for x
    x = 75,369,025.09/8,074.08
  6. Step 6: Final answer
    x = 9,334.69

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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.