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Finding the Fourth Proportional to 6,199.92, 9,299.86 and 4,359.24

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Solution

The fourth proportional to 6,199.92, 9,299.86 and 4,359.24 is: 6,538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.92 : 9,299.86 = 4,359.24 : x
  2. Step 2: Convert to fraction form
    6,199.92/9,299.86 = 4,359.24/x
  3. Step 3: Cross multiply
    6,199.92x = 9,299.86 × 4,359.24
  4. Step 4: Simplify right side
    6,199.92x = 40,540,321.71
  5. Step 5: Solve for x
    x = 40,540,321.71/6,199.92
  6. Step 6: Final answer
    x = 6,538.85

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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.