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Finding the Fourth Proportional to 9,550.44, 14,308.70 and 8,149.56

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Solution

The fourth proportional to 9,550.44, 14,308.70 and 8,149.56 is: 12,209.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.44 : 14,308.70 = 8,149.56 : x
  2. Step 2: Convert to fraction form
    9,550.44/14,308.70 = 8,149.56/x
  3. Step 3: Cross multiply
    9,550.44x = 14,308.70 × 8,149.56
  4. Step 4: Simplify right side
    9,550.44x = 116,609,609.17
  5. Step 5: Solve for x
    x = 116,609,609.17/9,550.44
  6. Step 6: Final answer
    x = 12,209.87

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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.