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Finding the Fourth Proportional to 6,209.68, 9,314.52 and 2,699.56

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Solution

The fourth proportional to 6,209.68, 9,314.52 and 2,699.56 is: 4,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.68 : 9,314.52 = 2,699.56 : x
  2. Step 2: Convert to fraction form
    6,209.68/9,314.52 = 2,699.56/x
  3. Step 3: Cross multiply
    6,209.68x = 9,314.52 × 2,699.56
  4. Step 4: Simplify right side
    6,209.68x = 25,145,105.61
  5. Step 5: Solve for x
    x = 25,145,105.61/6,209.68
  6. Step 6: Final answer
    x = 4,049.34

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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.