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Finding the Fourth Proportional to 6,727.56, 9,288.09 and 4,213.41

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Solution

The fourth proportional to 6,727.56, 9,288.09 and 4,213.41 is: 5,817.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,727.56 : 9,288.09 = 4,213.41 : x
  2. Step 2: Convert to fraction form
    6,727.56/9,288.09 = 4,213.41/x
  3. Step 3: Cross multiply
    6,727.56x = 9,288.09 × 4,213.41
  4. Step 4: Simplify right side
    6,727.56x = 39,134,531.29
  5. Step 5: Solve for x
    x = 39,134,531.29/6,727.56
  6. Step 6: Final answer
    x = 5,817.05

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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.