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Finding the Fourth Proportional to 9,922.22, 13,692.83 and 5,446.39

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Solution

The fourth proportional to 9,922.22, 13,692.83 and 5,446.39 is: 7,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.22 : 13,692.83 = 5,446.39 : x
  2. Step 2: Convert to fraction form
    9,922.22/13,692.83 = 5,446.39/x
  3. Step 3: Cross multiply
    9,922.22x = 13,692.83 × 5,446.39
  4. Step 4: Simplify right side
    9,922.22x = 74,576,396.69
  5. Step 5: Solve for x
    x = 74,576,396.69/9,922.22
  6. Step 6: Final answer
    x = 7,516.10

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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.