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Finding the Fourth Proportional to 6,782.73, 9,359.71 and 3,797.88

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Solution

The fourth proportional to 6,782.73, 9,359.71 and 3,797.88 is: 5,240.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.73 : 9,359.71 = 3,797.88 : x
  2. Step 2: Convert to fraction form
    6,782.73/9,359.71 = 3,797.88/x
  3. Step 3: Cross multiply
    6,782.73x = 9,359.71 × 3,797.88
  4. Step 4: Simplify right side
    6,782.73x = 35,547,055.41
  5. Step 5: Solve for x
    x = 35,547,055.41/6,782.73
  6. Step 6: Final answer
    x = 5,240.82

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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.