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Finding the Fourth Proportional to 9,716.49, 13,408.97 and 5,736.15

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Solution

The fourth proportional to 9,716.49, 13,408.97 and 5,736.15 is: 7,916.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.49 : 13,408.97 = 5,736.15 : x
  2. Step 2: Convert to fraction form
    9,716.49/13,408.97 = 5,736.15/x
  3. Step 3: Cross multiply
    9,716.49x = 13,408.97 × 5,736.15
  4. Step 4: Simplify right side
    9,716.49x = 76,915,834.58
  5. Step 5: Solve for x
    x = 76,915,834.58/9,716.49
  6. Step 6: Final answer
    x = 7,916.01

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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.