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Finding the Fourth Proportional to 9,692.19, 13,371.57 and 5,912.73

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Solution

The fourth proportional to 9,692.19, 13,371.57 and 5,912.73 is: 8,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.19 : 13,371.57 = 5,912.73 : x
  2. Step 2: Convert to fraction form
    9,692.19/13,371.57 = 5,912.73/x
  3. Step 3: Cross multiply
    9,692.19x = 13,371.57 × 5,912.73
  4. Step 4: Simplify right side
    9,692.19x = 79,062,483.09
  5. Step 5: Solve for x
    x = 79,062,483.09/9,692.19
  6. Step 6: Final answer
    x = 8,157.34

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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.