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Finding the Fourth Proportional to 6,646.33, 9,171.09 and 3,813.82

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Solution

The fourth proportional to 6,646.33, 9,171.09 and 3,813.82 is: 5,262.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.33 : 9,171.09 = 3,813.82 : x
  2. Step 2: Convert to fraction form
    6,646.33/9,171.09 = 3,813.82/x
  3. Step 3: Cross multiply
    6,646.33x = 9,171.09 × 3,813.82
  4. Step 4: Simplify right side
    6,646.33x = 34,976,886.14
  5. Step 5: Solve for x
    x = 34,976,886.14/6,646.33
  6. Step 6: Final answer
    x = 5,262.59

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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.