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Finding the Fourth Proportional to 8,230.26, 12,338.09 and 6,147.75

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Solution

The fourth proportional to 8,230.26, 12,338.09 and 6,147.75 is: 9,216.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,230.26 : 12,338.09 = 6,147.75 : x
  2. Step 2: Convert to fraction form
    8,230.26/12,338.09 = 6,147.75/x
  3. Step 3: Cross multiply
    8,230.26x = 12,338.09 × 6,147.75
  4. Step 4: Simplify right side
    8,230.26x = 75,851,400.37
  5. Step 5: Solve for x
    x = 75,851,400.37/8,230.26
  6. Step 6: Final answer
    x = 9,216.17

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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.