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Finding the Fourth Proportional to 10,441.40, 14,400.75 and 9,179.78

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Solution

The fourth proportional to 10,441.40, 14,400.75 and 9,179.78 is: 12,660.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.40 : 14,400.75 = 9,179.78 : x
  2. Step 2: Convert to fraction form
    10,441.40/14,400.75 = 9,179.78/x
  3. Step 3: Cross multiply
    10,441.40x = 14,400.75 × 9,179.78
  4. Step 4: Simplify right side
    10,441.40x = 132,195,716.84
  5. Step 5: Solve for x
    x = 132,195,716.84/10,441.40
  6. Step 6: Final answer
    x = 12,660.73

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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.