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Finding the Fourth Proportional to 9,794.29, 13,514.75 and 5,761.30

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Solution

The fourth proportional to 9,794.29, 13,514.75 and 5,761.30 is: 7,949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.29 : 13,514.75 = 5,761.30 : x
  2. Step 2: Convert to fraction form
    9,794.29/13,514.75 = 5,761.30/x
  3. Step 3: Cross multiply
    9,794.29x = 13,514.75 × 5,761.30
  4. Step 4: Simplify right side
    9,794.29x = 77,862,529.18
  5. Step 5: Solve for x
    x = 77,862,529.18/9,794.29
  6. Step 6: Final answer
    x = 7,949.79

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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.