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Finding the Fourth Proportional to 6,212.14, 8,561.22 and 4,616.26

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Solution

The fourth proportional to 6,212.14, 8,561.22 and 4,616.26 is: 6,361.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.14 : 8,561.22 = 4,616.26 : x
  2. Step 2: Convert to fraction form
    6,212.14/8,561.22 = 4,616.26/x
  3. Step 3: Cross multiply
    6,212.14x = 8,561.22 × 4,616.26
  4. Step 4: Simplify right side
    6,212.14x = 39,520,796.03
  5. Step 5: Solve for x
    x = 39,520,796.03/6,212.14
  6. Step 6: Final answer
    x = 6,361.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.