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Finding the Fourth Proportional to 9,794.35, 13,514.84 and 5,761.36

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Solution

The fourth proportional to 9,794.35, 13,514.84 and 5,761.36 is: 7,949.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.35 : 13,514.84 = 5,761.36 : x
  2. Step 2: Convert to fraction form
    9,794.35/13,514.84 = 5,761.36/x
  3. Step 3: Cross multiply
    9,794.35x = 13,514.84 × 5,761.36
  4. Step 4: Simplify right side
    9,794.35x = 77,863,858.58
  5. Step 5: Solve for x
    x = 77,863,858.58/9,794.35
  6. Step 6: Final answer
    x = 7,949.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.