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Finding the Fourth Proportional to 6,329.08, 9,481.24 and 3,857.76

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Solution

The fourth proportional to 6,329.08, 9,481.24 and 3,857.76 is: 5,779.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.08 : 9,481.24 = 3,857.76 : x
  2. Step 2: Convert to fraction form
    6,329.08/9,481.24 = 3,857.76/x
  3. Step 3: Cross multiply
    6,329.08x = 9,481.24 × 3,857.76
  4. Step 4: Simplify right side
    6,329.08x = 36,576,348.42
  5. Step 5: Solve for x
    x = 36,576,348.42/6,329.08
  6. Step 6: Final answer
    x = 5,779.09

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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.