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Finding the Fourth Proportional to 6,740.82, 9,297.79 and 5,855.09

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Solution

The fourth proportional to 6,740.82, 9,297.79 and 5,855.09 is: 8,076.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.82 : 9,297.79 = 5,855.09 : x
  2. Step 2: Convert to fraction form
    6,740.82/9,297.79 = 5,855.09/x
  3. Step 3: Cross multiply
    6,740.82x = 9,297.79 × 5,855.09
  4. Step 4: Simplify right side
    6,740.82x = 54,439,336.12
  5. Step 5: Solve for x
    x = 54,439,336.12/6,740.82
  6. Step 6: Final answer
    x = 8,076.07

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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.