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Finding the Fourth Proportional to 9,493.82, 13,101.22 and 5,245.20

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Solution

The fourth proportional to 9,493.82, 13,101.22 and 5,245.20 is: 7,238.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.82 : 13,101.22 = 5,245.20 : x
  2. Step 2: Convert to fraction form
    9,493.82/13,101.22 = 5,245.20/x
  3. Step 3: Cross multiply
    9,493.82x = 13,101.22 × 5,245.20
  4. Step 4: Simplify right side
    9,493.82x = 68,718,519.14
  5. Step 5: Solve for x
    x = 68,718,519.14/9,493.82
  6. Step 6: Final answer
    x = 7,238.24

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Double scale
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1.5x scale

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.