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Finding the Fourth Proportional to 9,696.12, 13,377.29 and 5,716.39

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Solution

The fourth proportional to 9,696.12, 13,377.29 and 5,716.39 is: 7,886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.12 : 13,377.29 = 5,716.39 : x
  2. Step 2: Convert to fraction form
    9,696.12/13,377.29 = 5,716.39/x
  3. Step 3: Cross multiply
    9,696.12x = 13,377.29 × 5,716.39
  4. Step 4: Simplify right side
    9,696.12x = 76,469,806.78
  5. Step 5: Solve for x
    x = 76,469,806.78/9,696.12
  6. Step 6: Final answer
    x = 7,886.64

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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.