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Finding the Fourth Proportional to 8,942.86, 13,414.46 and 3,099.66

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Solution

The fourth proportional to 8,942.86, 13,414.46 and 3,099.66 is: 4,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,942.86 : 13,414.46 = 3,099.66 : x
  2. Step 2: Convert to fraction form
    8,942.86/13,414.46 = 3,099.66/x
  3. Step 3: Cross multiply
    8,942.86x = 13,414.46 × 3,099.66
  4. Step 4: Simplify right side
    8,942.86x = 41,580,265.08
  5. Step 5: Solve for x
    x = 41,580,265.08/8,942.86
  6. Step 6: Final answer
    x = 4,649.55

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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.