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Finding the Fourth Proportional to 9,229.50, 13,846.56 and 2,655.54

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Solution

The fourth proportional to 9,229.50, 13,846.56 and 2,655.54 is: 3,983.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229.50 : 13,846.56 = 2,655.54 : x
  2. Step 2: Convert to fraction form
    9,229.50/13,846.56 = 2,655.54/x
  3. Step 3: Cross multiply
    9,229.50x = 13,846.56 × 2,655.54
  4. Step 4: Simplify right side
    9,229.50x = 36,770,093.94
  5. Step 5: Solve for x
    x = 36,770,093.94/9,229.50
  6. Step 6: Final answer
    x = 3,983.97

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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.