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Finding the Fourth Proportional to 6,642.67, 9,166.68 and 3,658.09

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Solution

The fourth proportional to 6,642.67, 9,166.68 and 3,658.09 is: 5,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.67 : 9,166.68 = 3,658.09 : x
  2. Step 2: Convert to fraction form
    6,642.67/9,166.68 = 3,658.09/x
  3. Step 3: Cross multiply
    6,642.67x = 9,166.68 × 3,658.09
  4. Step 4: Simplify right side
    6,642.67x = 33,532,540.44
  5. Step 5: Solve for x
    x = 33,532,540.44/6,642.67
  6. Step 6: Final answer
    x = 5,048.05

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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.