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Finding the Fourth Proportional to 6,833.20, 9,410.43 and 6,155.23

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Solution

The fourth proportional to 6,833.20, 9,410.43 and 6,155.23 is: 8,476.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,833.20 : 9,410.43 = 6,155.23 : x
  2. Step 2: Convert to fraction form
    6,833.20/9,410.43 = 6,155.23/x
  3. Step 3: Cross multiply
    6,833.20x = 9,410.43 × 6,155.23
  4. Step 4: Simplify right side
    6,833.20x = 57,923,361.05
  5. Step 5: Solve for x
    x = 57,923,361.05/6,833.20
  6. Step 6: Final answer
    x = 8,476.75

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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.