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Finding the Fourth Proportional to 6,771.36, 9,344.42 and 3,787.20

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Solution

The fourth proportional to 6,771.36, 9,344.42 and 3,787.20 is: 5,226.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.36 : 9,344.42 = 3,787.20 : x
  2. Step 2: Convert to fraction form
    6,771.36/9,344.42 = 3,787.20/x
  3. Step 3: Cross multiply
    6,771.36x = 9,344.42 × 3,787.20
  4. Step 4: Simplify right side
    6,771.36x = 35,389,187.42
  5. Step 5: Solve for x
    x = 35,389,187.42/6,771.36
  6. Step 6: Final answer
    x = 5,226.30

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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.