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Finding the Fourth Proportional to 6,161.12, 9,241.92 and 3,968

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Solution

The fourth proportional to 6,161.12, 9,241.92 and 3,968 is: 5,952.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.12 : 9,241.92 = 3,968 : x
  2. Step 2: Convert to fraction form
    6,161.12/9,241.92 = 3,968/x
  3. Step 3: Cross multiply
    6,161.12x = 9,241.92 × 3,968
  4. Step 4: Simplify right side
    6,161.12x = 36,671,938.56
  5. Step 5: Solve for x
    x = 36,671,938.56/6,161.12
  6. Step 6: Final answer
    x = 5,952.15

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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.