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Finding the Fourth Proportional to 6,731.46, 9,297.19 and 4,489.44

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Solution

The fourth proportional to 6,731.46, 9,297.19 and 4,489.44 is: 6,200.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.46 : 9,297.19 = 4,489.44 : x
  2. Step 2: Convert to fraction form
    6,731.46/9,297.19 = 4,489.44/x
  3. Step 3: Cross multiply
    6,731.46x = 9,297.19 × 4,489.44
  4. Step 4: Simplify right side
    6,731.46x = 41,739,176.67
  5. Step 5: Solve for x
    x = 41,739,176.67/6,731.46
  6. Step 6: Final answer
    x = 6,200.61

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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.