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Finding the Fourth Proportional to 9,227.50, 13,832.73 and 3,679.50

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Solution

The fourth proportional to 9,227.50, 13,832.73 and 3,679.50 is: 5,515.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.50 : 13,832.73 = 3,679.50 : x
  2. Step 2: Convert to fraction form
    9,227.50/13,832.73 = 3,679.50/x
  3. Step 3: Cross multiply
    9,227.50x = 13,832.73 × 3,679.50
  4. Step 4: Simplify right side
    9,227.50x = 50,897,530.04
  5. Step 5: Solve for x
    x = 50,897,530.04/9,227.50
  6. Step 6: Final answer
    x = 5,515.85

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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.