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Finding the Fourth Proportional to 6,857.54, 9,463.36 and 3,874.34

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Solution

The fourth proportional to 6,857.54, 9,463.36 and 3,874.34 is: 5,346.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.54 : 9,463.36 = 3,874.34 : x
  2. Step 2: Convert to fraction form
    6,857.54/9,463.36 = 3,874.34/x
  3. Step 3: Cross multiply
    6,857.54x = 9,463.36 × 3,874.34
  4. Step 4: Simplify right side
    6,857.54x = 36,664,274.18
  5. Step 5: Solve for x
    x = 36,664,274.18/6,857.54
  6. Step 6: Final answer
    x = 5,346.56

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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.