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Finding the Fourth Proportional to 6,641.21, 9,164.89 and 3,988.66

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Solution

The fourth proportional to 6,641.21, 9,164.89 and 3,988.66 is: 5,504.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.21 : 9,164.89 = 3,988.66 : x
  2. Step 2: Convert to fraction form
    6,641.21/9,164.89 = 3,988.66/x
  3. Step 3: Cross multiply
    6,641.21x = 9,164.89 × 3,988.66
  4. Step 4: Simplify right side
    6,641.21x = 36,555,640.12
  5. Step 5: Solve for x
    x = 36,555,640.12/6,641.21
  6. Step 6: Final answer
    x = 5,504.37

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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.