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Finding the Fourth Proportional to 9,500.26, 14,230.95 and 5,592.82

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Solution

The fourth proportional to 9,500.26, 14,230.95 and 5,592.82 is: 8,377.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.26 : 14,230.95 = 5,592.82 : x
  2. Step 2: Convert to fraction form
    9,500.26/14,230.95 = 5,592.82/x
  3. Step 3: Cross multiply
    9,500.26x = 14,230.95 × 5,592.82
  4. Step 4: Simplify right side
    9,500.26x = 79,591,141.78
  5. Step 5: Solve for x
    x = 79,591,141.78/9,500.26
  6. Step 6: Final answer
    x = 8,377.79

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