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Finding the Fourth Proportional to 6,105.99, 9,158.34 and 4,144.23

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Solution

The fourth proportional to 6,105.99, 9,158.34 and 4,144.23 is: 6,215.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.99 : 9,158.34 = 4,144.23 : x
  2. Step 2: Convert to fraction form
    6,105.99/9,158.34 = 4,144.23/x
  3. Step 3: Cross multiply
    6,105.99x = 9,158.34 × 4,144.23
  4. Step 4: Simplify right side
    6,105.99x = 37,954,267.38
  5. Step 5: Solve for x
    x = 37,954,267.38/6,105.99
  6. Step 6: Final answer
    x = 6,215.91

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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.