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Finding the Fourth Proportional to 6,561.41, 9,842.31 and 2,861.73

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Solution

The fourth proportional to 6,561.41, 9,842.31 and 2,861.73 is: 4,292.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.41 : 9,842.31 = 2,861.73 : x
  2. Step 2: Convert to fraction form
    6,561.41/9,842.31 = 2,861.73/x
  3. Step 3: Cross multiply
    6,561.41x = 9,842.31 × 2,861.73
  4. Step 4: Simplify right side
    6,561.41x = 28,166,033.80
  5. Step 5: Solve for x
    x = 28,166,033.80/6,561.41
  6. Step 6: Final answer
    x = 4,292.68

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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.