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Finding the Fourth Proportional to 9,236.82, 12,747.12 and 5,204.34

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Solution

The fourth proportional to 9,236.82, 12,747.12 and 5,204.34 is: 7,182.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.82 : 12,747.12 = 5,204.34 : x
  2. Step 2: Convert to fraction form
    9,236.82/12,747.12 = 5,204.34/x
  3. Step 3: Cross multiply
    9,236.82x = 12,747.12 × 5,204.34
  4. Step 4: Simplify right side
    9,236.82x = 66,340,346.50
  5. Step 5: Solve for x
    x = 66,340,346.50/9,236.82
  6. Step 6: Final answer
    x = 7,182.16

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Double scale
Find fourth proportional to 9,237.82, 12,748.50 and 5,205.34
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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.