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Finding the Fourth Proportional to 7,023.24, 9,692.06 and 3,879.42

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Solution

The fourth proportional to 7,023.24, 9,692.06 and 3,879.42 is: 5,353.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.24 : 9,692.06 = 3,879.42 : x
  2. Step 2: Convert to fraction form
    7,023.24/9,692.06 = 3,879.42/x
  3. Step 3: Cross multiply
    7,023.24x = 9,692.06 × 3,879.42
  4. Step 4: Simplify right side
    7,023.24x = 37,599,552.01
  5. Step 5: Solve for x
    x = 37,599,552.01/7,023.24
  6. Step 6: Final answer
    x = 5,353.59

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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.