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Finding the Fourth Proportional to 10,440.65, 14,399.72 and 9,179.03

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Solution

The fourth proportional to 10,440.65, 14,399.72 and 9,179.03 is: 12,659.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,440.65 : 14,399.72 = 9,179.03 : x
  2. Step 2: Convert to fraction form
    10,440.65/14,399.72 = 9,179.03/x
  3. Step 3: Cross multiply
    10,440.65x = 14,399.72 × 9,179.03
  4. Step 4: Simplify right side
    10,440.65x = 132,175,343.98
  5. Step 5: Solve for x
    x = 132,175,343.98/10,440.65
  6. Step 6: Final answer
    x = 12,659.69

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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.