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Finding the Fourth Proportional to 6,881.30, 9,496.53 and 3,896.98

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Solution

The fourth proportional to 6,881.30, 9,496.53 and 3,896.98 is: 5,378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.30 : 9,496.53 = 3,896.98 : x
  2. Step 2: Convert to fraction form
    6,881.30/9,496.53 = 3,896.98/x
  3. Step 3: Cross multiply
    6,881.30x = 9,496.53 × 3,896.98
  4. Step 4: Simplify right side
    6,881.30x = 37,007,787.48
  5. Step 5: Solve for x
    x = 37,007,787.48/6,881.30
  6. Step 6: Final answer
    x = 5,378.02

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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.