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Finding the Fourth Proportional to 9,229.49, 13,843.75 and 2,655.42

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Solution

The fourth proportional to 9,229.49, 13,843.75 and 2,655.42 is: 3,982.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.49 : 13,843.75 = 2,655.42 : x
  2. Step 2: Convert to fraction form
    9,229.49/13,843.75 = 2,655.42/x
  3. Step 3: Cross multiply
    9,229.49x = 13,843.75 × 2,655.42
  4. Step 4: Simplify right side
    9,229.49x = 36,760,970.63
  5. Step 5: Solve for x
    x = 36,760,970.63/9,229.49
  6. Step 6: Final answer
    x = 3,982.99

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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.