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Finding the Fourth Proportional to 6,794.14, 9,376.26 and 3,810.28

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Solution

The fourth proportional to 6,794.14, 9,376.26 and 3,810.28 is: 5,258.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,794.14 : 9,376.26 = 3,810.28 : x
  2. Step 2: Convert to fraction form
    6,794.14/9,376.26 = 3,810.28/x
  3. Step 3: Cross multiply
    6,794.14x = 9,376.26 × 3,810.28
  4. Step 4: Simplify right side
    6,794.14x = 35,726,175.95
  5. Step 5: Solve for x
    x = 35,726,175.95/6,794.14
  6. Step 6: Final answer
    x = 5,258.38

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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.