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Finding the Fourth Proportional to 6,093.70, 9,141.22 and 2,395.44

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Solution

The fourth proportional to 6,093.70, 9,141.22 and 2,395.44 is: 3,593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.70 : 9,141.22 = 2,395.44 : x
  2. Step 2: Convert to fraction form
    6,093.70/9,141.22 = 2,395.44/x
  3. Step 3: Cross multiply
    6,093.70x = 9,141.22 × 2,395.44
  4. Step 4: Simplify right side
    6,093.70x = 21,897,247.03
  5. Step 5: Solve for x
    x = 21,897,247.03/6,093.70
  6. Step 6: Final answer
    x = 3,593.43

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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.