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Finding the Fourth Proportional to 9,229.69, 13,839.67 and 4,029.49

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Solution

The fourth proportional to 9,229.69, 13,839.67 and 4,029.49 is: 6,042.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.69 : 13,839.67 = 4,029.49 : x
  2. Step 2: Convert to fraction form
    9,229.69/13,839.67 = 4,029.49/x
  3. Step 3: Cross multiply
    9,229.69x = 13,839.67 × 4,029.49
  4. Step 4: Simplify right side
    9,229.69x = 55,766,811.87
  5. Step 5: Solve for x
    x = 55,766,811.87/9,229.69
  6. Step 6: Final answer
    x = 6,042.11

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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.