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Finding the Fourth Proportional to 6,409.98, 9,615.31 and 2,711.70

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Solution

The fourth proportional to 6,409.98, 9,615.31 and 2,711.70 is: 4,067.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.98 : 9,615.31 = 2,711.70 : x
  2. Step 2: Convert to fraction form
    6,409.98/9,615.31 = 2,711.70/x
  3. Step 3: Cross multiply
    6,409.98x = 9,615.31 × 2,711.70
  4. Step 4: Simplify right side
    6,409.98x = 26,073,836.13
  5. Step 5: Solve for x
    x = 26,073,836.13/6,409.98
  6. Step 6: Final answer
    x = 4,067.69

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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.