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Finding the Fourth Proportional to 9,716.85, 13,411.89 and 5,739.39

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Solution

The fourth proportional to 9,716.85, 13,411.89 and 5,739.39 is: 7,921.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.85 : 13,411.89 = 5,739.39 : x
  2. Step 2: Convert to fraction form
    9,716.85/13,411.89 = 5,739.39/x
  3. Step 3: Cross multiply
    9,716.85x = 13,411.89 × 5,739.39
  4. Step 4: Simplify right side
    9,716.85x = 76,976,067.35
  5. Step 5: Solve for x
    x = 76,976,067.35/9,716.85
  6. Step 6: Final answer
    x = 7,921.92

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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.