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Finding the Fourth Proportional to 9,249.93, 13,874.49 and 2,676.38

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Solution

The fourth proportional to 9,249.93, 13,874.49 and 2,676.38 is: 4,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.93 : 13,874.49 = 2,676.38 : x
  2. Step 2: Convert to fraction form
    9,249.93/13,874.49 = 2,676.38/x
  3. Step 3: Cross multiply
    9,249.93x = 13,874.49 × 2,676.38
  4. Step 4: Simplify right side
    9,249.93x = 37,133,338.17
  5. Step 5: Solve for x
    x = 37,133,338.17/9,249.93
  6. Step 6: Final answer
    x = 4,014.45

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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.