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Finding the Fourth Proportional to 9,694.56, 14,544.24 and 3,121.48

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Solution

The fourth proportional to 9,694.56, 14,544.24 and 3,121.48 is: 4,682.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.56 : 14,544.24 = 3,121.48 : x
  2. Step 2: Convert to fraction form
    9,694.56/14,544.24 = 3,121.48/x
  3. Step 3: Cross multiply
    9,694.56x = 14,544.24 × 3,121.48
  4. Step 4: Simplify right side
    9,694.56x = 45,399,554.28
  5. Step 5: Solve for x
    x = 45,399,554.28/9,694.56
  6. Step 6: Final answer
    x = 4,682.99

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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.