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Finding the Fourth Proportional to 9,167.88, 13,751.80 and 3,322.56

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Solution

The fourth proportional to 9,167.88, 13,751.80 and 3,322.56 is: 4,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,167.88 : 13,751.80 = 3,322.56 : x
  2. Step 2: Convert to fraction form
    9,167.88/13,751.80 = 3,322.56/x
  3. Step 3: Cross multiply
    9,167.88x = 13,751.80 × 3,322.56
  4. Step 4: Simplify right side
    9,167.88x = 45,691,180.61
  5. Step 5: Solve for x
    x = 45,691,180.61/9,167.88
  6. Step 6: Final answer
    x = 4,983.83

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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.