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Finding the Fourth Proportional to 9,183.98, 13,770.90 and 2,857.14

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Solution

The fourth proportional to 9,183.98, 13,770.90 and 2,857.14 is: 4,284.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,183.98 : 13,770.90 = 2,857.14 : x
  2. Step 2: Convert to fraction form
    9,183.98/13,770.90 = 2,857.14/x
  3. Step 3: Cross multiply
    9,183.98x = 13,770.90 × 2,857.14
  4. Step 4: Simplify right side
    9,183.98x = 39,345,389.23
  5. Step 5: Solve for x
    x = 39,345,389.23/9,183.98
  6. Step 6: Final answer
    x = 4,284.14

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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.