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Finding the Fourth Proportional to 6,505.86, 9,757.17 and 2,608.14

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Solution

The fourth proportional to 6,505.86, 9,757.17 and 2,608.14 is: 3,911.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.86 : 9,757.17 = 2,608.14 : x
  2. Step 2: Convert to fraction form
    6,505.86/9,757.17 = 2,608.14/x
  3. Step 3: Cross multiply
    6,505.86x = 9,757.17 × 2,608.14
  4. Step 4: Simplify right side
    6,505.86x = 25,448,065.36
  5. Step 5: Solve for x
    x = 25,448,065.36/6,505.86
  6. Step 6: Final answer
    x = 3,911.56

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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.