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Finding the Fourth Proportional to 9,229.74, 13,844.25 and 2,655.90

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Solution

The fourth proportional to 9,229.74, 13,844.25 and 2,655.90 is: 3,983.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.74 : 13,844.25 = 2,655.90 : x
  2. Step 2: Convert to fraction form
    9,229.74/13,844.25 = 2,655.90/x
  3. Step 3: Cross multiply
    9,229.74x = 13,844.25 × 2,655.90
  4. Step 4: Simplify right side
    9,229.74x = 36,768,943.58
  5. Step 5: Solve for x
    x = 36,768,943.58/9,229.74
  6. Step 6: Final answer
    x = 3,983.75

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Why These Related Problems?

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