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Finding the Fourth Proportional to 6,057.99, 9,086.92 and 2,109.18

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Solution

The fourth proportional to 6,057.99, 9,086.92 and 2,109.18 is: 3,163.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,057.99 : 9,086.92 = 2,109.18 : x
  2. Step 2: Convert to fraction form
    6,057.99/9,086.92 = 2,109.18/x
  3. Step 3: Cross multiply
    6,057.99x = 9,086.92 × 2,109.18
  4. Step 4: Simplify right side
    6,057.99x = 19,165,949.93
  5. Step 5: Solve for x
    x = 19,165,949.93/6,057.99
  6. Step 6: Final answer
    x = 3,163.75

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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.