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Finding the Fourth Proportional to 6,809.01, 9,396.94 and 3,825.02

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Solution

The fourth proportional to 6,809.01, 9,396.94 and 3,825.02 is: 5,278.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.01 : 9,396.94 = 3,825.02 : x
  2. Step 2: Convert to fraction form
    6,809.01/9,396.94 = 3,825.02/x
  3. Step 3: Cross multiply
    6,809.01x = 9,396.94 × 3,825.02
  4. Step 4: Simplify right side
    6,809.01x = 35,943,467.35
  5. Step 5: Solve for x
    x = 35,943,467.35/6,809.01
  6. Step 6: Final answer
    x = 5,278.81

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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.