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Finding the Fourth Proportional to 6,299.70, 9,449.55 and 5,424.90

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Solution

The fourth proportional to 6,299.70, 9,449.55 and 5,424.90 is: 8,137.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.70 : 9,449.55 = 5,424.90 : x
  2. Step 2: Convert to fraction form
    6,299.70/9,449.55 = 5,424.90/x
  3. Step 3: Cross multiply
    6,299.70x = 9,449.55 × 5,424.90
  4. Step 4: Simplify right side
    6,299.70x = 51,262,863.80
  5. Step 5: Solve for x
    x = 51,262,863.80/6,299.70
  6. Step 6: Final answer
    x = 8,137.35

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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.