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Finding the Fourth Proportional to 9,194.92, 12,690.24 and 8,944.76

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Solution

The fourth proportional to 9,194.92, 12,690.24 and 8,944.76 is: 12,344.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,194.92 : 12,690.24 = 8,944.76 : x
  2. Step 2: Convert to fraction form
    9,194.92/12,690.24 = 8,944.76/x
  3. Step 3: Cross multiply
    9,194.92x = 12,690.24 × 8,944.76
  4. Step 4: Simplify right side
    9,194.92x = 113,511,151.14
  5. Step 5: Solve for x
    x = 113,511,151.14/9,194.92
  6. Step 6: Final answer
    x = 12,344.99

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Half scale
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Double scale
Find fourth proportional to 9,195.92, 12,691.62 and 8,945.76
Similar ratio
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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.