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Finding the Fourth Proportional to 6,546.26, 9,033.72 and 3,713.42

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Solution

The fourth proportional to 6,546.26, 9,033.72 and 3,713.42 is: 5,124.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.26 : 9,033.72 = 3,713.42 : x
  2. Step 2: Convert to fraction form
    6,546.26/9,033.72 = 3,713.42/x
  3. Step 3: Cross multiply
    6,546.26x = 9,033.72 × 3,713.42
  4. Step 4: Simplify right side
    6,546.26x = 33,545,996.52
  5. Step 5: Solve for x
    x = 33,545,996.52/6,546.26
  6. Step 6: Final answer
    x = 5,124.45

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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.