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Finding the Fourth Proportional to 8,446.90, 12,671.09 and 2,206.86

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Solution

The fourth proportional to 8,446.90, 12,671.09 and 2,206.86 is: 3,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,446.90 : 12,671.09 = 2,206.86 : x
  2. Step 2: Convert to fraction form
    8,446.90/12,671.09 = 2,206.86/x
  3. Step 3: Cross multiply
    8,446.90x = 12,671.09 × 2,206.86
  4. Step 4: Simplify right side
    8,446.90x = 27,963,327.19
  5. Step 5: Solve for x
    x = 27,963,327.19/8,446.90
  6. Step 6: Final answer
    x = 3,310.48

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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.