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Finding the Fourth Proportional to 9,175.51, 13,767.84 and 3,632.85

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Solution

The fourth proportional to 9,175.51, 13,767.84 and 3,632.85 is: 5,451.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,175.51 : 13,767.84 = 3,632.85 : x
  2. Step 2: Convert to fraction form
    9,175.51/13,767.84 = 3,632.85/x
  3. Step 3: Cross multiply
    9,175.51x = 13,767.84 × 3,632.85
  4. Step 4: Simplify right side
    9,175.51x = 50,016,497.54
  5. Step 5: Solve for x
    x = 50,016,497.54/9,175.51
  6. Step 6: Final answer
    x = 5,451.09

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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.