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Finding the Fourth Proportional to 9,609.38, 13,255.62 and 5,629.73

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Solution

The fourth proportional to 9,609.38, 13,255.62 and 5,629.73 is: 7,765.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.38 : 13,255.62 = 5,629.73 : x
  2. Step 2: Convert to fraction form
    9,609.38/13,255.62 = 5,629.73/x
  3. Step 3: Cross multiply
    9,609.38x = 13,255.62 × 5,629.73
  4. Step 4: Simplify right side
    9,609.38x = 74,625,467.16
  5. Step 5: Solve for x
    x = 74,625,467.16/9,609.38
  6. Step 6: Final answer
    x = 7,765.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.