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Finding the Fourth Proportional to 9,694.67, 13,381.99 and 5,715.54

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Solution

The fourth proportional to 9,694.67, 13,381.99 and 5,715.54 is: 7,889.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.67 : 13,381.99 = 5,715.54 : x
  2. Step 2: Convert to fraction form
    9,694.67/13,381.99 = 5,715.54/x
  3. Step 3: Cross multiply
    9,694.67x = 13,381.99 × 5,715.54
  4. Step 4: Simplify right side
    9,694.67x = 76,485,284.84
  5. Step 5: Solve for x
    x = 76,485,284.84/9,694.67
  6. Step 6: Final answer
    x = 7,889.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.