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Finding the Fourth Proportional to 6,646.20, 9,171.63 and 3,662.31

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Solution

The fourth proportional to 6,646.20, 9,171.63 and 3,662.31 is: 5,053.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.20 : 9,171.63 = 3,662.31 : x
  2. Step 2: Convert to fraction form
    6,646.20/9,171.63 = 3,662.31/x
  3. Step 3: Cross multiply
    6,646.20x = 9,171.63 × 3,662.31
  4. Step 4: Simplify right side
    6,646.20x = 33,589,352.27
  5. Step 5: Solve for x
    x = 33,589,352.27/6,646.20
  6. Step 6: Final answer
    x = 5,053.92

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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.