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Finding the Fourth Proportional to 9,716.46, 14,571.11 and 3,474.78

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Solution

The fourth proportional to 9,716.46, 14,571.11 and 3,474.78 is: 5,210.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.46 : 14,571.11 = 3,474.78 : x
  2. Step 2: Convert to fraction form
    9,716.46/14,571.11 = 3,474.78/x
  3. Step 3: Cross multiply
    9,716.46x = 14,571.11 × 3,474.78
  4. Step 4: Simplify right side
    9,716.46x = 50,631,410.29
  5. Step 5: Solve for x
    x = 50,631,410.29/9,716.46
  6. Step 6: Final answer
    x = 5,210.89

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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.