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Finding the Fourth Proportional to 6,546.44, 9,033.60 and 3,714.41

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Solution

The fourth proportional to 6,546.44, 9,033.60 and 3,714.41 is: 5,125.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546.44 : 9,033.60 = 3,714.41 : x
  2. Step 2: Convert to fraction form
    6,546.44/9,033.60 = 3,714.41/x
  3. Step 3: Cross multiply
    6,546.44x = 9,033.60 × 3,714.41
  4. Step 4: Simplify right side
    6,546.44x = 33,554,449.01
  5. Step 5: Solve for x
    x = 33,554,449.01/6,546.44
  6. Step 6: Final answer
    x = 5,125.61

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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.