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Finding the Fourth Proportional to 9,934.92, 14,961.82 and 9,049.20

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Solution

The fourth proportional to 9,934.92, 14,961.82 and 9,049.20 is: 13,627.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.92 : 14,961.82 = 9,049.20 : x
  2. Step 2: Convert to fraction form
    9,934.92/14,961.82 = 9,049.20/x
  3. Step 3: Cross multiply
    9,934.92x = 14,961.82 × 9,049.20
  4. Step 4: Simplify right side
    9,934.92x = 135,392,501.54
  5. Step 5: Solve for x
    x = 135,392,501.54/9,934.92
  6. Step 6: Final answer
    x = 13,627.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.