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Finding the Fourth Proportional to 6,642.22, 9,166.23 and 3,658.05

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Solution

The fourth proportional to 6,642.22, 9,166.23 and 3,658.05 is: 5,048.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,642.22 : 9,166.23 = 3,658.05 : x
  2. Step 2: Convert to fraction form
    6,642.22/9,166.23 = 3,658.05/x
  3. Step 3: Cross multiply
    6,642.22x = 9,166.23 × 3,658.05
  4. Step 4: Simplify right side
    6,642.22x = 33,530,527.65
  5. Step 5: Solve for x
    x = 33,530,527.65/6,642.22
  6. Step 6: Final answer
    x = 5,048.09

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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.