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Finding the Fourth Proportional to 9,694.64, 14,550.24 and 3,855.36

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Solution

The fourth proportional to 9,694.64, 14,550.24 and 3,855.36 is: 5,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.64 : 14,550.24 = 3,855.36 : x
  2. Step 2: Convert to fraction form
    9,694.64/14,550.24 = 3,855.36/x
  3. Step 3: Cross multiply
    9,694.64x = 14,550.24 × 3,855.36
  4. Step 4: Simplify right side
    9,694.64x = 56,096,413.29
  5. Step 5: Solve for x
    x = 56,096,413.29/9,694.64
  6. Step 6: Final answer
    x = 5,786.33

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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.