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Finding the Fourth Proportional to 10,322.70, 14,231.22 and 7,092.42

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Solution

The fourth proportional to 10,322.70, 14,231.22 and 7,092.42 is: 9,777.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,322.70 : 14,231.22 = 7,092.42 : x
  2. Step 2: Convert to fraction form
    10,322.70/14,231.22 = 7,092.42/x
  3. Step 3: Cross multiply
    10,322.70x = 14,231.22 × 7,092.42
  4. Step 4: Simplify right side
    10,322.70x = 100,933,789.35
  5. Step 5: Solve for x
    x = 100,933,789.35/10,322.70
  6. Step 6: Final answer
    x = 9,777.85

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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.