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Finding the Fourth Proportional to 6,339.52, 9,499.02 and 3,866.86

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Solution

The fourth proportional to 6,339.52, 9,499.02 and 3,866.86 is: 5,794.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,339.52 : 9,499.02 = 3,866.86 : x
  2. Step 2: Convert to fraction form
    6,339.52/9,499.02 = 3,866.86/x
  3. Step 3: Cross multiply
    6,339.52x = 9,499.02 × 3,866.86
  4. Step 4: Simplify right side
    6,339.52x = 36,731,380.48
  5. Step 5: Solve for x
    x = 36,731,380.48/6,339.52
  6. Step 6: Final answer
    x = 5,794.03

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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.