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Finding the Fourth Proportional to 6,409.30, 9,614.94 and 2,711.55

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Solution

The fourth proportional to 6,409.30, 9,614.94 and 2,711.55 is: 4,067.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.30 : 9,614.94 = 2,711.55 : x
  2. Step 2: Convert to fraction form
    6,409.30/9,614.94 = 2,711.55/x
  3. Step 3: Cross multiply
    6,409.30x = 9,614.94 × 2,711.55
  4. Step 4: Simplify right side
    6,409.30x = 26,071,390.56
  5. Step 5: Solve for x
    x = 26,071,390.56/6,409.30
  6. Step 6: Final answer
    x = 4,067.74

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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.