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Finding the Fourth Proportional to 9,493.82, 13,101.20 and 5,245.20

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Solution

The fourth proportional to 9,493.82, 13,101.20 and 5,245.20 is: 7,238.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.82 : 13,101.20 = 5,245.20 : x
  2. Step 2: Convert to fraction form
    9,493.82/13,101.20 = 5,245.20/x
  3. Step 3: Cross multiply
    9,493.82x = 13,101.20 × 5,245.20
  4. Step 4: Simplify right side
    9,493.82x = 68,718,414.24
  5. Step 5: Solve for x
    x = 68,718,414.24/9,493.82
  6. Step 6: Final answer
    x = 7,238.23

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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.