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Finding the Fourth Proportional to 6,359.25, 9,535.80 and 2,197.80

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Solution

The fourth proportional to 6,359.25, 9,535.80 and 2,197.80 is: 3,295.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.25 : 9,535.80 = 2,197.80 : x
  2. Step 2: Convert to fraction form
    6,359.25/9,535.80 = 2,197.80/x
  3. Step 3: Cross multiply
    6,359.25x = 9,535.80 × 2,197.80
  4. Step 4: Simplify right side
    6,359.25x = 20,957,737.24
  5. Step 5: Solve for x
    x = 20,957,737.24/6,359.25
  6. Step 6: Final answer
    x = 3,295.63

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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.