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Finding the Fourth Proportional to 7,142.08, 9,857.13 and 4,311.09

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Solution

The fourth proportional to 7,142.08, 9,857.13 and 4,311.09 is: 5,949.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.08 : 9,857.13 = 4,311.09 : x
  2. Step 2: Convert to fraction form
    7,142.08/9,857.13 = 4,311.09/x
  3. Step 3: Cross multiply
    7,142.08x = 9,857.13 × 4,311.09
  4. Step 4: Simplify right side
    7,142.08x = 42,494,974.57
  5. Step 5: Solve for x
    x = 42,494,974.57/7,142.08
  6. Step 6: Final answer
    x = 5,949.94

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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.