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Finding the Fourth Proportional to 9,692.24, 13,375.11 and 5,443.34

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Solution

The fourth proportional to 9,692.24, 13,375.11 and 5,443.34 is: 7,511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.24 : 13,375.11 = 5,443.34 : x
  2. Step 2: Convert to fraction form
    9,692.24/13,375.11 = 5,443.34/x
  3. Step 3: Cross multiply
    9,692.24x = 13,375.11 × 5,443.34
  4. Step 4: Simplify right side
    9,692.24x = 72,805,271.27
  5. Step 5: Solve for x
    x = 72,805,271.27/9,692.24
  6. Step 6: Final answer
    x = 7,511.71

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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.