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Finding the Fourth Proportional to 10,601.88, 14,662.34 and 9,273.27

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Solution

The fourth proportional to 10,601.88, 14,662.34 and 9,273.27 is: 12,824.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,601.88 : 14,662.34 = 9,273.27 : x
  2. Step 2: Convert to fraction form
    10,601.88/14,662.34 = 9,273.27/x
  3. Step 3: Cross multiply
    10,601.88x = 14,662.34 × 9,273.27
  4. Step 4: Simplify right side
    10,601.88x = 135,967,717.97
  5. Step 5: Solve for x
    x = 135,967,717.97/10,601.88
  6. Step 6: Final answer
    x = 12,824.87

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