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Finding the Fourth Proportional to 6,175.62, 9,257.67 and 2,277

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Solution

The fourth proportional to 6,175.62, 9,257.67 and 2,277 is: 3,413.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,175.62 : 9,257.67 = 2,277 : x
  2. Step 2: Convert to fraction form
    6,175.62/9,257.67 = 2,277/x
  3. Step 3: Cross multiply
    6,175.62x = 9,257.67 × 2,277
  4. Step 4: Simplify right side
    6,175.62x = 21,079,714.59
  5. Step 5: Solve for x
    x = 21,079,714.59/6,175.62
  6. Step 6: Final answer
    x = 3,413.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.