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Finding the Fourth Proportional to 9,910.93, 13,674.94 and 5,716.75

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Solution

The fourth proportional to 9,910.93, 13,674.94 and 5,716.75 is: 7,887.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.93 : 13,674.94 = 5,716.75 : x
  2. Step 2: Convert to fraction form
    9,910.93/13,674.94 = 5,716.75/x
  3. Step 3: Cross multiply
    9,910.93x = 13,674.94 × 5,716.75
  4. Step 4: Simplify right side
    9,910.93x = 78,176,213.25
  5. Step 5: Solve for x
    x = 78,176,213.25/9,910.93
  6. Step 6: Final answer
    x = 7,887.88

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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.