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Finding the Fourth Proportional to 8,194.02, 12,291.30 and 2,270.90

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Solution

The fourth proportional to 8,194.02, 12,291.30 and 2,270.90 is: 3,406.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.02 : 12,291.30 = 2,270.90 : x
  2. Step 2: Convert to fraction form
    8,194.02/12,291.30 = 2,270.90/x
  3. Step 3: Cross multiply
    8,194.02x = 12,291.30 × 2,270.90
  4. Step 4: Simplify right side
    8,194.02x = 27,912,251.71
  5. Step 5: Solve for x
    x = 27,912,251.71/8,194.02
  6. Step 6: Final answer
    x = 3,406.42

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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.