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Finding the Fourth Proportional to 10,321.96, 14,253.70 and 9,202.92

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Solution

The fourth proportional to 10,321.96, 14,253.70 and 9,202.92 is: 12,708.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.96 : 14,253.70 = 9,202.92 : x
  2. Step 2: Convert to fraction form
    10,321.96/14,253.70 = 9,202.92/x
  3. Step 3: Cross multiply
    10,321.96x = 14,253.70 × 9,202.92
  4. Step 4: Simplify right side
    10,321.96x = 131,175,660.80
  5. Step 5: Solve for x
    x = 131,175,660.80/10,321.96
  6. Step 6: Final answer
    x = 12,708.41

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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.