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Finding the Fourth Proportional to 9,449.89, 14,170.11 and 5,502.45

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Solution

The fourth proportional to 9,449.89, 14,170.11 and 5,502.45 is: 8,250.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,449.89 : 14,170.11 = 5,502.45 : x
  2. Step 2: Convert to fraction form
    9,449.89/14,170.11 = 5,502.45/x
  3. Step 3: Cross multiply
    9,449.89x = 14,170.11 × 5,502.45
  4. Step 4: Simplify right side
    9,449.89x = 77,970,321.77
  5. Step 5: Solve for x
    x = 77,970,321.77/9,449.89
  6. Step 6: Final answer
    x = 8,250.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.