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Finding the Fourth Proportional to 9,716.97, 13,409.01 and 5,739.36

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Solution

The fourth proportional to 9,716.97, 13,409.01 and 5,739.36 is: 7,920.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.97 : 13,409.01 = 5,739.36 : x
  2. Step 2: Convert to fraction form
    9,716.97/13,409.01 = 5,739.36/x
  3. Step 3: Cross multiply
    9,716.97x = 13,409.01 × 5,739.36
  4. Step 4: Simplify right side
    9,716.97x = 76,959,135.63
  5. Step 5: Solve for x
    x = 76,959,135.63/9,716.97
  6. Step 6: Final answer
    x = 7,920.08

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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.