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Finding the Fourth Proportional to 8,138.39, 12,209.45 and 2,944.26

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Solution

The fourth proportional to 8,138.39, 12,209.45 and 2,944.26 is: 4,417.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.39 : 12,209.45 = 2,944.26 : x
  2. Step 2: Convert to fraction form
    8,138.39/12,209.45 = 2,944.26/x
  3. Step 3: Cross multiply
    8,138.39x = 12,209.45 × 2,944.26
  4. Step 4: Simplify right side
    8,138.39x = 35,947,780.54
  5. Step 5: Solve for x
    x = 35,947,780.54/8,138.39
  6. Step 6: Final answer
    x = 4,417.07

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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.