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Finding the Fourth Proportional to 9,716.57, 13,414.44 and 6,534.49

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Solution

The fourth proportional to 9,716.57, 13,414.44 and 6,534.49 is: 9,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.57 : 13,414.44 = 6,534.49 : x
  2. Step 2: Convert to fraction form
    9,716.57/13,414.44 = 6,534.49/x
  3. Step 3: Cross multiply
    9,716.57x = 13,414.44 × 6,534.49
  4. Step 4: Simplify right side
    9,716.57x = 87,656,456.96
  5. Step 5: Solve for x
    x = 87,656,456.96/9,716.57
  6. Step 6: Final answer
    x = 9,021.34

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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.