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Finding the Fourth Proportional to 6,197.25, 9,297.09 and 2,734.50

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Solution

The fourth proportional to 6,197.25, 9,297.09 and 2,734.50 is: 4,102.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.25 : 9,297.09 = 2,734.50 : x
  2. Step 2: Convert to fraction form
    6,197.25/9,297.09 = 2,734.50/x
  3. Step 3: Cross multiply
    6,197.25x = 9,297.09 × 2,734.50
  4. Step 4: Simplify right side
    6,197.25x = 25,422,892.61
  5. Step 5: Solve for x
    x = 25,422,892.61/6,197.25
  6. Step 6: Final answer
    x = 4,102.29

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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.