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Finding the Fourth Proportional to 10,338.57, 14,272.07 and 6,614.73

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Solution

The fourth proportional to 10,338.57, 14,272.07 and 6,614.73 is: 9,131.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338.57 : 14,272.07 = 6,614.73 : x
  2. Step 2: Convert to fraction form
    10,338.57/14,272.07 = 6,614.73/x
  3. Step 3: Cross multiply
    10,338.57x = 14,272.07 × 6,614.73
  4. Step 4: Simplify right side
    10,338.57x = 94,405,856.52
  5. Step 5: Solve for x
    x = 94,405,856.52/10,338.57
  6. Step 6: Final answer
    x = 9,131.42

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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.