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Finding the Fourth Proportional to 6,504.76, 9,757.54 and 2,608.66

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Solution

The fourth proportional to 6,504.76, 9,757.54 and 2,608.66 is: 3,913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.76 : 9,757.54 = 2,608.66 : x
  2. Step 2: Convert to fraction form
    6,504.76/9,757.54 = 2,608.66/x
  3. Step 3: Cross multiply
    6,504.76x = 9,757.54 × 2,608.66
  4. Step 4: Simplify right side
    6,504.76x = 25,454,104.30
  5. Step 5: Solve for x
    x = 25,454,104.30/6,504.76
  6. Step 6: Final answer
    x = 3,913.15

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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.