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Finding the Fourth Proportional to 8,449.92, 12,674.53 and 2,209.83

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Solution

The fourth proportional to 8,449.92, 12,674.53 and 2,209.83 is: 3,314.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.92 : 12,674.53 = 2,209.83 : x
  2. Step 2: Convert to fraction form
    8,449.92/12,674.53 = 2,209.83/x
  3. Step 3: Cross multiply
    8,449.92x = 12,674.53 × 2,209.83
  4. Step 4: Simplify right side
    8,449.92x = 28,008,570.73
  5. Step 5: Solve for x
    x = 28,008,570.73/8,449.92
  6. Step 6: Final answer
    x = 3,314.66

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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.