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Finding the Fourth Proportional to 9,144.41, 13,716.49 and 2,218.97

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Solution

The fourth proportional to 9,144.41, 13,716.49 and 2,218.97 is: 3,328.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.41 : 13,716.49 = 2,218.97 : x
  2. Step 2: Convert to fraction form
    9,144.41/13,716.49 = 2,218.97/x
  3. Step 3: Cross multiply
    9,144.41x = 13,716.49 × 2,218.97
  4. Step 4: Simplify right side
    9,144.41x = 30,436,405.69
  5. Step 5: Solve for x
    x = 30,436,405.69/9,144.41
  6. Step 6: Final answer
    x = 3,328.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.