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Finding the Fourth Proportional to 6,910.67, 9,536.91 and 3,767.06

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Solution

The fourth proportional to 6,910.67, 9,536.91 and 3,767.06 is: 5,198.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.67 : 9,536.91 = 3,767.06 : x
  2. Step 2: Convert to fraction form
    6,910.67/9,536.91 = 3,767.06/x
  3. Step 3: Cross multiply
    6,910.67x = 9,536.91 × 3,767.06
  4. Step 4: Simplify right side
    6,910.67x = 35,926,112.18
  5. Step 5: Solve for x
    x = 35,926,112.18/6,910.67
  6. Step 6: Final answer
    x = 5,198.64

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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.