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Finding the Fourth Proportional to 6,243.15, 9,361.62 and 2,294.24

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Solution

The fourth proportional to 6,243.15, 9,361.62 and 2,294.24 is: 3,440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,243.15 : 9,361.62 = 2,294.24 : x
  2. Step 2: Convert to fraction form
    6,243.15/9,361.62 = 2,294.24/x
  3. Step 3: Cross multiply
    6,243.15x = 9,361.62 × 2,294.24
  4. Step 4: Simplify right side
    6,243.15x = 21,477,850.48
  5. Step 5: Solve for x
    x = 21,477,850.48/6,243.15
  6. Step 6: Final answer
    x = 3,440.23

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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.