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Finding the Fourth Proportional to 6,546.45, 9,033.44 and 3,713.97

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Solution

The fourth proportional to 6,546.45, 9,033.44 and 3,713.97 is: 5,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.45 : 9,033.44 = 3,713.97 : x
  2. Step 2: Convert to fraction form
    6,546.45/9,033.44 = 3,713.97/x
  3. Step 3: Cross multiply
    6,546.45x = 9,033.44 × 3,713.97
  4. Step 4: Simplify right side
    6,546.45x = 33,549,906.59
  5. Step 5: Solve for x
    x = 33,549,906.59/6,546.45
  6. Step 6: Final answer
    x = 5,124.90

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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.