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Finding the Fourth Proportional to 9,796.52, 13,514.67 and 5,815.37

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Solution

The fourth proportional to 9,796.52, 13,514.67 and 5,815.37 is: 8,022.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.52 : 13,514.67 = 5,815.37 : x
  2. Step 2: Convert to fraction form
    9,796.52/13,514.67 = 5,815.37/x
  3. Step 3: Cross multiply
    9,796.52x = 13,514.67 × 5,815.37
  4. Step 4: Simplify right side
    9,796.52x = 78,592,738.90
  5. Step 5: Solve for x
    x = 78,592,738.90/9,796.52
  6. Step 6: Final answer
    x = 8,022.52

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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.