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Finding the Fourth Proportional to 6,123.45, 9,192 and 5,721.90

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Solution

The fourth proportional to 6,123.45, 9,192 and 5,721.90 is: 8,589.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.45 : 9,192 = 5,721.90 : x
  2. Step 2: Convert to fraction form
    6,123.45/9,192 = 5,721.90/x
  3. Step 3: Cross multiply
    6,123.45x = 9,192 × 5,721.90
  4. Step 4: Simplify right side
    6,123.45x = 52,595,704.80
  5. Step 5: Solve for x
    x = 52,595,704.80/6,123.45
  6. Step 6: Final answer
    x = 8,589.23

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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.