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Finding the Fourth Proportional to 6,361.11, 9,539.30 and 2,200

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Solution

The fourth proportional to 6,361.11, 9,539.30 and 2,200 is: 3,299.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.11 : 9,539.30 = 2,200 : x
  2. Step 2: Convert to fraction form
    6,361.11/9,539.30 = 2,200/x
  3. Step 3: Cross multiply
    6,361.11x = 9,539.30 × 2,200
  4. Step 4: Simplify right side
    6,361.11x = 20,986,449
  5. Step 5: Solve for x
    x = 20,986,449/6,361.11
  6. Step 6: Final answer
    x = 3,299.18

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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.