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Finding the Fourth Proportional to 6,717.71, 9,270.36 and 3,733.43

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Solution

The fourth proportional to 6,717.71, 9,270.36 and 3,733.43 is: 5,152.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,717.71 : 9,270.36 = 3,733.43 : x
  2. Step 2: Convert to fraction form
    6,717.71/9,270.36 = 3,733.43/x
  3. Step 3: Cross multiply
    6,717.71x = 9,270.36 × 3,733.43
  4. Step 4: Simplify right side
    6,717.71x = 34,610,240.13
  5. Step 5: Solve for x
    x = 34,610,240.13/6,717.71
  6. Step 6: Final answer
    x = 5,152.09

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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.