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Finding the Fourth Proportional to 8,083.54, 12,109.26 and 6,228.22

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Solution

The fourth proportional to 8,083.54, 12,109.26 and 6,228.22 is: 9,329.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.54 : 12,109.26 = 6,228.22 : x
  2. Step 2: Convert to fraction form
    8,083.54/12,109.26 = 6,228.22/x
  3. Step 3: Cross multiply
    8,083.54x = 12,109.26 × 6,228.22
  4. Step 4: Simplify right side
    8,083.54x = 75,419,135.32
  5. Step 5: Solve for x
    x = 75,419,135.32/8,083.54
  6. Step 6: Final answer
    x = 9,329.96

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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.