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Finding the Fourth Proportional to 9,694.71, 14,544.57 and 4,069.36

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Solution

The fourth proportional to 9,694.71, 14,544.57 and 4,069.36 is: 6,105.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.71 : 14,544.57 = 4,069.36 : x
  2. Step 2: Convert to fraction form
    9,694.71/14,544.57 = 4,069.36/x
  3. Step 3: Cross multiply
    9,694.71x = 14,544.57 × 4,069.36
  4. Step 4: Simplify right side
    9,694.71x = 59,187,091.38
  5. Step 5: Solve for x
    x = 59,187,091.38/9,694.71
  6. Step 6: Final answer
    x = 6,105.09

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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.