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Finding the Fourth Proportional to 6,717.33, 9,268.92 and 3,733.20

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Solution

The fourth proportional to 6,717.33, 9,268.92 and 3,733.20 is: 5,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,717.33 : 9,268.92 = 3,733.20 : x
  2. Step 2: Convert to fraction form
    6,717.33/9,268.92 = 3,733.20/x
  3. Step 3: Cross multiply
    6,717.33x = 9,268.92 × 3,733.20
  4. Step 4: Simplify right side
    6,717.33x = 34,602,732.14
  5. Step 5: Solve for x
    x = 34,602,732.14/6,717.33
  6. Step 6: Final answer
    x = 5,151.26

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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.