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Finding the Fourth Proportional to 8,194.32, 12,261.24 and 4,909.68

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Solution

The fourth proportional to 8,194.32, 12,261.24 and 4,909.68 is: 7,346.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.32 : 12,261.24 = 4,909.68 : x
  2. Step 2: Convert to fraction form
    8,194.32/12,261.24 = 4,909.68/x
  3. Step 3: Cross multiply
    8,194.32x = 12,261.24 × 4,909.68
  4. Step 4: Simplify right side
    8,194.32x = 60,198,764.80
  5. Step 5: Solve for x
    x = 60,198,764.80/8,194.32
  6. Step 6: Final answer
    x = 7,346.40

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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.