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Finding the Fourth Proportional to 6,196.17, 9,287.10 and 2,857.44

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Solution

The fourth proportional to 6,196.17, 9,287.10 and 2,857.44 is: 4,282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.17 : 9,287.10 = 2,857.44 : x
  2. Step 2: Convert to fraction form
    6,196.17/9,287.10 = 2,857.44/x
  3. Step 3: Cross multiply
    6,196.17x = 9,287.10 × 2,857.44
  4. Step 4: Simplify right side
    6,196.17x = 26,537,331.02
  5. Step 5: Solve for x
    x = 26,537,331.02/6,196.17
  6. Step 6: Final answer
    x = 4,282.86

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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.