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Finding the Fourth Proportional to 10,063.89, 13,902.17 and 9,571.82

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Solution

The fourth proportional to 10,063.89, 13,902.17 and 9,571.82 is: 13,222.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,063.89 : 13,902.17 = 9,571.82 : x
  2. Step 2: Convert to fraction form
    10,063.89/13,902.17 = 9,571.82/x
  3. Step 3: Cross multiply
    10,063.89x = 13,902.17 × 9,571.82
  4. Step 4: Simplify right side
    10,063.89x = 133,068,951.48
  5. Step 5: Solve for x
    x = 133,068,951.48/10,063.89
  6. Step 6: Final answer
    x = 13,222.42

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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.