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Finding the Fourth Proportional to 6,570.41, 9,850.37 and 3,793.92

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Solution

The fourth proportional to 6,570.41, 9,850.37 and 3,793.92 is: 5,687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,570.41 : 9,850.37 = 3,793.92 : x
  2. Step 2: Convert to fraction form
    6,570.41/9,850.37 = 3,793.92/x
  3. Step 3: Cross multiply
    6,570.41x = 9,850.37 × 3,793.92
  4. Step 4: Simplify right side
    6,570.41x = 37,371,496.78
  5. Step 5: Solve for x
    x = 37,371,496.78/6,570.41
  6. Step 6: Final answer
    x = 5,687.85

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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.