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Finding the Fourth Proportional to 9,322, 13,956.83 and 6,992.84

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Solution

The fourth proportional to 9,322, 13,956.83 and 6,992.84 is: 10,469.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322 : 13,956.83 = 6,992.84 : x
  2. Step 2: Convert to fraction form
    9,322/13,956.83 = 6,992.84/x
  3. Step 3: Cross multiply
    9,322x = 13,956.83 × 6,992.84
  4. Step 4: Simplify right side
    9,322x = 97,597,879.10
  5. Step 5: Solve for x
    x = 97,597,879.10/9,322
  6. Step 6: Final answer
    x = 10,469.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.