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Finding the Fourth Proportional to 6,679.26, 9,217.40 and 3,847.50

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Solution

The fourth proportional to 6,679.26, 9,217.40 and 3,847.50 is: 5,309.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,679.26 : 9,217.40 = 3,847.50 : x
  2. Step 2: Convert to fraction form
    6,679.26/9,217.40 = 3,847.50/x
  3. Step 3: Cross multiply
    6,679.26x = 9,217.40 × 3,847.50
  4. Step 4: Simplify right side
    6,679.26x = 35,463,927.26
  5. Step 5: Solve for x
    x = 35,463,927.26/6,679.26
  6. Step 6: Final answer
    x = 5,309.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.