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Finding the Fourth Proportional to 8,834.34, 13,251.51 and 3,909

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Solution

The fourth proportional to 8,834.34, 13,251.51 and 3,909 is: 5,863.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,834.34 : 13,251.51 = 3,909 : x
  2. Step 2: Convert to fraction form
    8,834.34/13,251.51 = 3,909/x
  3. Step 3: Cross multiply
    8,834.34x = 13,251.51 × 3,909
  4. Step 4: Simplify right side
    8,834.34x = 51,800,152.59
  5. Step 5: Solve for x
    x = 51,800,152.59/8,834.34
  6. Step 6: Final answer
    x = 5,863.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.