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Finding the Fourth Proportional to 9,753.62, 14,627.82 and 2,733.24

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Solution

The fourth proportional to 9,753.62, 14,627.82 and 2,733.24 is: 4,099.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,753.62 : 14,627.82 = 2,733.24 : x
  2. Step 2: Convert to fraction form
    9,753.62/14,627.82 = 2,733.24/x
  3. Step 3: Cross multiply
    9,753.62x = 14,627.82 × 2,733.24
  4. Step 4: Simplify right side
    9,753.62x = 39,981,342.74
  5. Step 5: Solve for x
    x = 39,981,342.74/9,753.62
  6. Step 6: Final answer
    x = 4,099.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.