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Finding the Fourth Proportional to 6,109.25, 9,163.97 and 2,005.25

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Solution

The fourth proportional to 6,109.25, 9,163.97 and 2,005.25 is: 3,007.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.25 : 9,163.97 = 2,005.25 : x
  2. Step 2: Convert to fraction form
    6,109.25/9,163.97 = 2,005.25/x
  3. Step 3: Cross multiply
    6,109.25x = 9,163.97 × 2,005.25
  4. Step 4: Simplify right side
    6,109.25x = 18,376,050.84
  5. Step 5: Solve for x
    x = 18,376,050.84/6,109.25
  6. Step 6: Final answer
    x = 3,007.91

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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.