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Finding the Fourth Proportional to 6,409.28, 9,615.97 and 3,940.70

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Solution

The fourth proportional to 6,409.28, 9,615.97 and 3,940.70 is: 5,912.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,409.28 : 9,615.97 = 3,940.70 : x
  2. Step 2: Convert to fraction form
    6,409.28/9,615.97 = 3,940.70/x
  3. Step 3: Cross multiply
    6,409.28x = 9,615.97 × 3,940.70
  4. Step 4: Simplify right side
    6,409.28x = 37,893,641.75
  5. Step 5: Solve for x
    x = 37,893,641.75/6,409.28
  6. Step 6: Final answer
    x = 5,912.31

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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.