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Finding the Fourth Proportional to 6,440.36, 9,660.53 and 3,517.07

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Solution

The fourth proportional to 6,440.36, 9,660.53 and 3,517.07 is: 5,275.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,440.36 : 9,660.53 = 3,517.07 : x
  2. Step 2: Convert to fraction form
    6,440.36/9,660.53 = 3,517.07/x
  3. Step 3: Cross multiply
    6,440.36x = 9,660.53 × 3,517.07
  4. Step 4: Simplify right side
    6,440.36x = 33,976,720.74
  5. Step 5: Solve for x
    x = 33,976,720.74/6,440.36
  6. Step 6: Final answer
    x = 5,275.60

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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.