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Finding the Fourth Proportional to 9,277.92, 13,900.68 and 7,727.85

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Solution

The fourth proportional to 9,277.92, 13,900.68 and 7,727.85 is: 11,578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,277.92 : 13,900.68 = 7,727.85 : x
  2. Step 2: Convert to fraction form
    9,277.92/13,900.68 = 7,727.85/x
  3. Step 3: Cross multiply
    9,277.92x = 13,900.68 × 7,727.85
  4. Step 4: Simplify right side
    9,277.92x = 107,422,369.94
  5. Step 5: Solve for x
    x = 107,422,369.94/9,277.92
  6. Step 6: Final answer
    x = 11,578.28

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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.