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Finding the Fourth Proportional to 6,896.28, 10,294.41 and 6,382.34

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Solution

The fourth proportional to 6,896.28, 10,294.41 and 6,382.34 is: 9,527.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,896.28 : 10,294.41 = 6,382.34 : x
  2. Step 2: Convert to fraction form
    6,896.28/10,294.41 = 6,382.34/x
  3. Step 3: Cross multiply
    6,896.28x = 10,294.41 × 6,382.34
  4. Step 4: Simplify right side
    6,896.28x = 65,702,424.72
  5. Step 5: Solve for x
    x = 65,702,424.72/6,896.28
  6. Step 6: Final answer
    x = 9,527.23

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.