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Finding the Fourth Proportional to 6,735.19, 9,293.96 and 3,901.66

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Solution

The fourth proportional to 6,735.19, 9,293.96 and 3,901.66 is: 5,383.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.19 : 9,293.96 = 3,901.66 : x
  2. Step 2: Convert to fraction form
    6,735.19/9,293.96 = 3,901.66/x
  3. Step 3: Cross multiply
    6,735.19x = 9,293.96 × 3,901.66
  4. Step 4: Simplify right side
    6,735.19x = 36,261,871.97
  5. Step 5: Solve for x
    x = 36,261,871.97/6,735.19
  6. Step 6: Final answer
    x = 5,383.94

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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.