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Finding the Fourth Proportional to 9,921.98, 13,692.50 and 5,446.15

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Solution

The fourth proportional to 9,921.98, 13,692.50 and 5,446.15 is: 7,515.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.98 : 13,692.50 = 5,446.15 : x
  2. Step 2: Convert to fraction form
    9,921.98/13,692.50 = 5,446.15/x
  3. Step 3: Cross multiply
    9,921.98x = 13,692.50 × 5,446.15
  4. Step 4: Simplify right side
    9,921.98x = 74,571,408.88
  5. Step 5: Solve for x
    x = 74,571,408.88/9,921.98
  6. Step 6: Final answer
    x = 7,515.78

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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.