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Finding the Fourth Proportional to 6,198.28, 9,299.99 and 3,424.70

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Solution

The fourth proportional to 6,198.28, 9,299.99 and 3,424.70 is: 5,138.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.28 : 9,299.99 = 3,424.70 : x
  2. Step 2: Convert to fraction form
    6,198.28/9,299.99 = 3,424.70/x
  3. Step 3: Cross multiply
    6,198.28x = 9,299.99 × 3,424.70
  4. Step 4: Simplify right side
    6,198.28x = 31,849,675.75
  5. Step 5: Solve for x
    x = 31,849,675.75/6,198.28
  6. Step 6: Final answer
    x = 5,138.47

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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.