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Finding the Fourth Proportional to 6,138.18, 9,204.02 and 2,440.26

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Solution

The fourth proportional to 6,138.18, 9,204.02 and 2,440.26 is: 3,659.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.18 : 9,204.02 = 2,440.26 : x
  2. Step 2: Convert to fraction form
    6,138.18/9,204.02 = 2,440.26/x
  3. Step 3: Cross multiply
    6,138.18x = 9,204.02 × 2,440.26
  4. Step 4: Simplify right side
    6,138.18x = 22,460,201.85
  5. Step 5: Solve for x
    x = 22,460,201.85/6,138.18
  6. Step 6: Final answer
    x = 3,659.10

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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.