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Finding the Fourth Proportional to 8,429.69, 12,651.83 and 3,239.21

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Solution

The fourth proportional to 8,429.69, 12,651.83 and 3,239.21 is: 4,861.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.69 : 12,651.83 = 3,239.21 : x
  2. Step 2: Convert to fraction form
    8,429.69/12,651.83 = 3,239.21/x
  3. Step 3: Cross multiply
    8,429.69x = 12,651.83 × 3,239.21
  4. Step 4: Simplify right side
    8,429.69x = 40,981,934.25
  5. Step 5: Solve for x
    x = 40,981,934.25/8,429.69
  6. Step 6: Final answer
    x = 4,861.62

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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.