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Finding the Fourth Proportional to 10,441.65, 14,401.09 and 9,180.03

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Solution

The fourth proportional to 10,441.65, 14,401.09 and 9,180.03 is: 12,661.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.65 : 14,401.09 = 9,180.03 : x
  2. Step 2: Convert to fraction form
    10,441.65/14,401.09 = 9,180.03/x
  3. Step 3: Cross multiply
    10,441.65x = 14,401.09 × 9,180.03
  4. Step 4: Simplify right side
    10,441.65x = 132,202,438.23
  5. Step 5: Solve for x
    x = 132,202,438.23/10,441.65
  6. Step 6: Final answer
    x = 12,661.07

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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.