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Finding the Fourth Proportional to 6,471.74, 9,708.51 and 2,087.78

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Solution

The fourth proportional to 6,471.74, 9,708.51 and 2,087.78 is: 3,131.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.74 : 9,708.51 = 2,087.78 : x
  2. Step 2: Convert to fraction form
    6,471.74/9,708.51 = 2,087.78/x
  3. Step 3: Cross multiply
    6,471.74x = 9,708.51 × 2,087.78
  4. Step 4: Simplify right side
    6,471.74x = 20,269,233.01
  5. Step 5: Solve for x
    x = 20,269,233.01/6,471.74
  6. Step 6: Final answer
    x = 3,131.96

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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.