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Finding the Fourth Proportional to 6,896.32, 9,520.80 and 5,278.18

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Solution

The fourth proportional to 6,896.32, 9,520.80 and 5,278.18 is: 7,286.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.32 : 9,520.80 = 5,278.18 : x
  2. Step 2: Convert to fraction form
    6,896.32/9,520.80 = 5,278.18/x
  3. Step 3: Cross multiply
    6,896.32x = 9,520.80 × 5,278.18
  4. Step 4: Simplify right side
    6,896.32x = 50,252,496.14
  5. Step 5: Solve for x
    x = 50,252,496.14/6,896.32
  6. Step 6: Final answer
    x = 7,286.86

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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.