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Finding the Fourth Proportional to 9,922.68, 13,692.44 and 5,446.42

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Solution

The fourth proportional to 9,922.68, 13,692.44 and 5,446.42 is: 7,515.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.68 : 13,692.44 = 5,446.42 : x
  2. Step 2: Convert to fraction form
    9,922.68/13,692.44 = 5,446.42/x
  3. Step 3: Cross multiply
    9,922.68x = 13,692.44 × 5,446.42
  4. Step 4: Simplify right side
    9,922.68x = 74,574,758.45
  5. Step 5: Solve for x
    x = 74,574,758.45/9,922.68
  6. Step 6: Final answer
    x = 7,515.59

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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.