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Finding the Fourth Proportional to 6,548.67, 9,033.96 and 3,894.18

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Solution

The fourth proportional to 6,548.67, 9,033.96 and 3,894.18 is: 5,372.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.67 : 9,033.96 = 3,894.18 : x
  2. Step 2: Convert to fraction form
    6,548.67/9,033.96 = 3,894.18/x
  3. Step 3: Cross multiply
    6,548.67x = 9,033.96 × 3,894.18
  4. Step 4: Simplify right side
    6,548.67x = 35,179,866.35
  5. Step 5: Solve for x
    x = 35,179,866.35/6,548.67
  6. Step 6: Final answer
    x = 5,372.06

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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.