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Finding the Fourth Proportional to 8,209.47, 12,318.05 and 4,047.21

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Solution

The fourth proportional to 8,209.47, 12,318.05 and 4,047.21 is: 6,072.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.47 : 12,318.05 = 4,047.21 : x
  2. Step 2: Convert to fraction form
    8,209.47/12,318.05 = 4,047.21/x
  3. Step 3: Cross multiply
    8,209.47x = 12,318.05 × 4,047.21
  4. Step 4: Simplify right side
    8,209.47x = 49,853,735.14
  5. Step 5: Solve for x
    x = 49,853,735.14/8,209.47
  6. Step 6: Final answer
    x = 6,072.71

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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.