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Finding the Fourth Proportional to 9,716.77, 14,578.20 and 3,476.62

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Solution

The fourth proportional to 9,716.77, 14,578.20 and 3,476.62 is: 5,216.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.77 : 14,578.20 = 3,476.62 : x
  2. Step 2: Convert to fraction form
    9,716.77/14,578.20 = 3,476.62/x
  3. Step 3: Cross multiply
    9,716.77x = 14,578.20 × 3,476.62
  4. Step 4: Simplify right side
    9,716.77x = 50,682,861.68
  5. Step 5: Solve for x
    x = 50,682,861.68/9,716.77
  6. Step 6: Final answer
    x = 5,216.02

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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.