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Finding the Fourth Proportional to 6,401.43, 9,601.07 and 2,018.25

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Solution

The fourth proportional to 6,401.43, 9,601.07 and 2,018.25 is: 3,027.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.43 : 9,601.07 = 2,018.25 : x
  2. Step 2: Convert to fraction form
    6,401.43/9,601.07 = 2,018.25/x
  3. Step 3: Cross multiply
    6,401.43x = 9,601.07 × 2,018.25
  4. Step 4: Simplify right side
    6,401.43x = 19,377,349.44
  5. Step 5: Solve for x
    x = 19,377,349.44/6,401.43
  6. Step 6: Final answer
    x = 3,027.03

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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.