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Finding the Fourth Proportional to 10,480.86, 15,791.27 and 9,481.37

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Solution

The fourth proportional to 10,480.86, 15,791.27 and 9,481.37 is: 14,285.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,480.86 : 15,791.27 = 9,481.37 : x
  2. Step 2: Convert to fraction form
    10,480.86/15,791.27 = 9,481.37/x
  3. Step 3: Cross multiply
    10,480.86x = 15,791.27 × 9,481.37
  4. Step 4: Simplify right side
    10,480.86x = 149,722,747.28
  5. Step 5: Solve for x
    x = 149,722,747.28/10,480.86
  6. Step 6: Final answer
    x = 14,285.35

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.