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Finding the Fourth Proportional to 8,449.71, 12,675.33 and 2,209.70

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Solution

The fourth proportional to 8,449.71, 12,675.33 and 2,209.70 is: 3,314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.71 : 12,675.33 = 2,209.70 : x
  2. Step 2: Convert to fraction form
    8,449.71/12,675.33 = 2,209.70/x
  3. Step 3: Cross multiply
    8,449.71x = 12,675.33 × 2,209.70
  4. Step 4: Simplify right side
    8,449.71x = 28,008,613.32
  5. Step 5: Solve for x
    x = 28,008,613.32/8,449.71
  6. Step 6: Final answer
    x = 3,314.74

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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.