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Finding the Fourth Proportional to 8,434.73, 12,652.31 and 2,194.59

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Solution

The fourth proportional to 8,434.73, 12,652.31 and 2,194.59 is: 3,291.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.73 : 12,652.31 = 2,194.59 : x
  2. Step 2: Convert to fraction form
    8,434.73/12,652.31 = 2,194.59/x
  3. Step 3: Cross multiply
    8,434.73x = 12,652.31 × 2,194.59
  4. Step 4: Simplify right side
    8,434.73x = 27,766,622.03
  5. Step 5: Solve for x
    x = 27,766,622.03/8,434.73
  6. Step 6: Final answer
    x = 3,291.94

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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.