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Finding the Fourth Proportional to 9,696.57, 13,381.22 and 5,447.64

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Solution

The fourth proportional to 9,696.57, 13,381.22 and 5,447.64 is: 7,517.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.57 : 13,381.22 = 5,447.64 : x
  2. Step 2: Convert to fraction form
    9,696.57/13,381.22 = 5,447.64/x
  3. Step 3: Cross multiply
    9,696.57x = 13,381.22 × 5,447.64
  4. Step 4: Simplify right side
    9,696.57x = 72,896,042.08
  5. Step 5: Solve for x
    x = 72,896,042.08/9,696.57
  6. Step 6: Final answer
    x = 7,517.71

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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.