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Finding the Fourth Proportional to 8,324.65, 12,493.14 and 3,942.12

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Solution

The fourth proportional to 8,324.65, 12,493.14 and 3,942.12 is: 5,916.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,324.65 : 12,493.14 = 3,942.12 : x
  2. Step 2: Convert to fraction form
    8,324.65/12,493.14 = 3,942.12/x
  3. Step 3: Cross multiply
    8,324.65x = 12,493.14 × 3,942.12
  4. Step 4: Simplify right side
    8,324.65x = 49,249,418.85
  5. Step 5: Solve for x
    x = 49,249,418.85/8,324.65
  6. Step 6: Final answer
    x = 5,916.10

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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.