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Finding the Fourth Proportional to 6,410.85, 9,616.22 and 2,028.19

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Solution

The fourth proportional to 6,410.85, 9,616.22 and 2,028.19 is: 3,042.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,410.85 : 9,616.22 = 2,028.19 : x
  2. Step 2: Convert to fraction form
    6,410.85/9,616.22 = 2,028.19/x
  3. Step 3: Cross multiply
    6,410.85x = 9,616.22 × 2,028.19
  4. Step 4: Simplify right side
    6,410.85x = 19,503,512.70
  5. Step 5: Solve for x
    x = 19,503,512.70/6,410.85
  6. Step 6: Final answer
    x = 3,042.27

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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.