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Finding the Fourth Proportional to 9,967.84, 13,753.20 and 5,992

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Solution

The fourth proportional to 9,967.84, 13,753.20 and 5,992 is: 8,267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967.84 : 13,753.20 = 5,992 : x
  2. Step 2: Convert to fraction form
    9,967.84/13,753.20 = 5,992/x
  3. Step 3: Cross multiply
    9,967.84x = 13,753.20 × 5,992
  4. Step 4: Simplify right side
    9,967.84x = 82,409,174.40
  5. Step 5: Solve for x
    x = 82,409,174.40/9,967.84
  6. Step 6: Final answer
    x = 8,267.51

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Why These Related Problems?

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