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Finding the Fourth Proportional to 9,174.63, 13,761.94 and 2,249.13

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Solution

The fourth proportional to 9,174.63, 13,761.94 and 2,249.13 is: 3,373.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.63 : 13,761.94 = 2,249.13 : x
  2. Step 2: Convert to fraction form
    9,174.63/13,761.94 = 2,249.13/x
  3. Step 3: Cross multiply
    9,174.63x = 13,761.94 × 2,249.13
  4. Step 4: Simplify right side
    9,174.63x = 30,952,392.11
  5. Step 5: Solve for x
    x = 30,952,392.11/9,174.63
  6. Step 6: Final answer
    x = 3,373.69

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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.