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Finding the Fourth Proportional to 9,194.64, 13,793.52 and 3,997.68

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Solution

The fourth proportional to 9,194.64, 13,793.52 and 3,997.68 is: 5,997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.64 : 13,793.52 = 3,997.68 : x
  2. Step 2: Convert to fraction form
    9,194.64/13,793.52 = 3,997.68/x
  3. Step 3: Cross multiply
    9,194.64x = 13,793.52 × 3,997.68
  4. Step 4: Simplify right side
    9,194.64x = 55,142,079.03
  5. Step 5: Solve for x
    x = 55,142,079.03/9,194.64
  6. Step 6: Final answer
    x = 5,997.20

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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.