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Finding the Fourth Proportional to 6,546.96, 9,033.66 and 3,893.94

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Solution

The fourth proportional to 6,546.96, 9,033.66 and 3,893.94 is: 5,372.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.96 : 9,033.66 = 3,893.94 : x
  2. Step 2: Convert to fraction form
    6,546.96/9,033.66 = 3,893.94/x
  3. Step 3: Cross multiply
    6,546.96x = 9,033.66 × 3,893.94
  4. Step 4: Simplify right side
    6,546.96x = 35,176,530.02
  5. Step 5: Solve for x
    x = 35,176,530.02/6,546.96
  6. Step 6: Final answer
    x = 5,372.96

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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.