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Finding the Fourth Proportional to 9,231.93, 13,855.77 and 3,689.19

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Solution

The fourth proportional to 9,231.93, 13,855.77 and 3,689.19 is: 5,536.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.93 : 13,855.77 = 3,689.19 : x
  2. Step 2: Convert to fraction form
    9,231.93/13,855.77 = 3,689.19/x
  3. Step 3: Cross multiply
    9,231.93x = 13,855.77 × 3,689.19
  4. Step 4: Simplify right side
    9,231.93x = 51,116,568.13
  5. Step 5: Solve for x
    x = 51,116,568.13/9,231.93
  6. Step 6: Final answer
    x = 5,536.93

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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.