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Finding the Fourth Proportional to 6,544.44, 9,033.96 and 4,449.84

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Solution

The fourth proportional to 6,544.44, 9,033.96 and 4,449.84 is: 6,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,544.44 : 9,033.96 = 4,449.84 : x
  2. Step 2: Convert to fraction form
    6,544.44/9,033.96 = 4,449.84/x
  3. Step 3: Cross multiply
    6,544.44x = 9,033.96 × 4,449.84
  4. Step 4: Simplify right side
    6,544.44x = 40,199,676.57
  5. Step 5: Solve for x
    x = 40,199,676.57/6,544.44
  6. Step 6: Final answer
    x = 6,142.57

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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.