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Finding the Fourth Proportional to 8,142.42, 12,194.64 and 5,945.70

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Solution

The fourth proportional to 8,142.42, 12,194.64 and 5,945.70 is: 8,904.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.42 : 12,194.64 = 5,945.70 : x
  2. Step 2: Convert to fraction form
    8,142.42/12,194.64 = 5,945.70/x
  3. Step 3: Cross multiply
    8,142.42x = 12,194.64 × 5,945.70
  4. Step 4: Simplify right side
    8,142.42x = 72,505,671.05
  5. Step 5: Solve for x
    x = 72,505,671.05/8,142.42
  6. Step 6: Final answer
    x = 8,904.68

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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.