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Finding the Fourth Proportional to 9,692.50, 13,375.92 and 5,501.02

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Solution

The fourth proportional to 9,692.50, 13,375.92 and 5,501.02 is: 7,591.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.50 : 13,375.92 = 5,501.02 : x
  2. Step 2: Convert to fraction form
    9,692.50/13,375.92 = 5,501.02/x
  3. Step 3: Cross multiply
    9,692.50x = 13,375.92 × 5,501.02
  4. Step 4: Simplify right side
    9,692.50x = 73,581,203.44
  5. Step 5: Solve for x
    x = 73,581,203.44/9,692.50
  6. Step 6: Final answer
    x = 7,591.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.