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Finding the Fourth Proportional to 9,121.20, 13,672.21 and 5,167.50

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Solution

The fourth proportional to 9,121.20, 13,672.21 and 5,167.50 is: 7,745.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121.20 : 13,672.21 = 5,167.50 : x
  2. Step 2: Convert to fraction form
    9,121.20/13,672.21 = 5,167.50/x
  3. Step 3: Cross multiply
    9,121.20x = 13,672.21 × 5,167.50
  4. Step 4: Simplify right side
    9,121.20x = 70,651,145.18
  5. Step 5: Solve for x
    x = 70,651,145.18/9,121.20
  6. Step 6: Final answer
    x = 7,745.82

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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.