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Finding the Fourth Proportional to 10,096.67, 13,940.27 and 6,321.36

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Solution

The fourth proportional to 10,096.67, 13,940.27 and 6,321.36 is: 8,727.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.67 : 13,940.27 = 6,321.36 : x
  2. Step 2: Convert to fraction form
    10,096.67/13,940.27 = 6,321.36/x
  3. Step 3: Cross multiply
    10,096.67x = 13,940.27 × 6,321.36
  4. Step 4: Simplify right side
    10,096.67x = 88,121,465.17
  5. Step 5: Solve for x
    x = 88,121,465.17/10,096.67
  6. Step 6: Final answer
    x = 8,727.78

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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.