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Finding the Fourth Proportional to 6,138.60, 9,215.94 and 3,644.34

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Solution

The fourth proportional to 6,138.60, 9,215.94 and 3,644.34 is: 5,471.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.60 : 9,215.94 = 3,644.34 : x
  2. Step 2: Convert to fraction form
    6,138.60/9,215.94 = 3,644.34/x
  3. Step 3: Cross multiply
    6,138.60x = 9,215.94 × 3,644.34
  4. Step 4: Simplify right side
    6,138.60x = 33,586,018.78
  5. Step 5: Solve for x
    x = 33,586,018.78/6,138.60
  6. Step 6: Final answer
    x = 5,471.28

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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.