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Finding the Fourth Proportional to 9,967.72, 13,754.82 and 5,989

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Solution

The fourth proportional to 9,967.72, 13,754.82 and 5,989 is: 8,264.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.72 : 13,754.82 = 5,989 : x
  2. Step 2: Convert to fraction form
    9,967.72/13,754.82 = 5,989/x
  3. Step 3: Cross multiply
    9,967.72x = 13,754.82 × 5,989
  4. Step 4: Simplify right side
    9,967.72x = 82,377,616.98
  5. Step 5: Solve for x
    x = 82,377,616.98/9,967.72
  6. Step 6: Final answer
    x = 8,264.44

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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.