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Finding the Fourth Proportional to 9,793.86, 13,517.19 and 5,817.12

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Solution

The fourth proportional to 9,793.86, 13,517.19 and 5,817.12 is: 8,028.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.86 : 13,517.19 = 5,817.12 : x
  2. Step 2: Convert to fraction form
    9,793.86/13,517.19 = 5,817.12/x
  3. Step 3: Cross multiply
    9,793.86x = 13,517.19 × 5,817.12
  4. Step 4: Simplify right side
    9,793.86x = 78,631,116.29
  5. Step 5: Solve for x
    x = 78,631,116.29/9,793.86
  6. Step 6: Final answer
    x = 8,028.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.