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Finding the Fourth Proportional to 9,967.64, 13,754.81 and 5,717.82

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Solution

The fourth proportional to 9,967.64, 13,754.81 and 5,717.82 is: 7,890.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.64 : 13,754.81 = 5,717.82 : x
  2. Step 2: Convert to fraction form
    9,967.64/13,754.81 = 5,717.82/x
  3. Step 3: Cross multiply
    9,967.64x = 13,754.81 × 5,717.82
  4. Step 4: Simplify right side
    9,967.64x = 78,647,593.59
  5. Step 5: Solve for x
    x = 78,647,593.59/9,967.64
  6. Step 6: Final answer
    x = 7,890.29

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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.