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Finding the Fourth Proportional to 9,922.49, 13,692.98 and 5,446.31

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Solution

The fourth proportional to 9,922.49, 13,692.98 and 5,446.31 is: 7,515.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.49 : 13,692.98 = 5,446.31 : x
  2. Step 2: Convert to fraction form
    9,922.49/13,692.98 = 5,446.31/x
  3. Step 3: Cross multiply
    9,922.49x = 13,692.98 × 5,446.31
  4. Step 4: Simplify right side
    9,922.49x = 74,576,186.67
  5. Step 5: Solve for x
    x = 74,576,186.67/9,922.49
  6. Step 6: Final answer
    x = 7,515.88

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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.