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Finding the Fourth Proportional to 6,669.69, 9,203.94 and 3,836.97

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Solution

The fourth proportional to 6,669.69, 9,203.94 and 3,836.97 is: 5,294.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,669.69 : 9,203.94 = 3,836.97 : x
  2. Step 2: Convert to fraction form
    6,669.69/9,203.94 = 3,836.97/x
  3. Step 3: Cross multiply
    6,669.69x = 9,203.94 × 3,836.97
  4. Step 4: Simplify right side
    6,669.69x = 35,315,241.66
  5. Step 5: Solve for x
    x = 35,315,241.66/6,669.69
  6. Step 6: Final answer
    x = 5,294.89

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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.