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Finding the Fourth Proportional to 6,131.25, 9,198.32 and 2,027.25

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Solution

The fourth proportional to 6,131.25, 9,198.32 and 2,027.25 is: 3,041.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.25 : 9,198.32 = 2,027.25 : x
  2. Step 2: Convert to fraction form
    6,131.25/9,198.32 = 2,027.25/x
  3. Step 3: Cross multiply
    6,131.25x = 9,198.32 × 2,027.25
  4. Step 4: Simplify right side
    6,131.25x = 18,647,284.08
  5. Step 5: Solve for x
    x = 18,647,284.08/6,131.25
  6. Step 6: Final answer
    x = 3,041.35

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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.