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Finding the Fourth Proportional to 6,540.86, 9,812.94 and 3,033.38

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Solution

The fourth proportional to 6,540.86, 9,812.94 and 3,033.38 is: 4,550.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.86 : 9,812.94 = 3,033.38 : x
  2. Step 2: Convert to fraction form
    6,540.86/9,812.94 = 3,033.38/x
  3. Step 3: Cross multiply
    6,540.86x = 9,812.94 × 3,033.38
  4. Step 4: Simplify right side
    6,540.86x = 29,766,375.94
  5. Step 5: Solve for x
    x = 29,766,375.94/6,540.86
  6. Step 6: Final answer
    x = 4,550.84

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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.