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Finding the Fourth Proportional to 9,922.40, 13,691.76 and 5,942.96

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Solution

The fourth proportional to 9,922.40, 13,691.76 and 5,942.96 is: 8,200.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.40 : 13,691.76 = 5,942.96 : x
  2. Step 2: Convert to fraction form
    9,922.40/13,691.76 = 5,942.96/x
  3. Step 3: Cross multiply
    9,922.40x = 13,691.76 × 5,942.96
  4. Step 4: Simplify right side
    9,922.40x = 81,369,582.01
  5. Step 5: Solve for x
    x = 81,369,582.01/9,922.40
  6. Step 6: Final answer
    x = 8,200.59

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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.