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Finding the Fourth Proportional to 9,696.38, 13,380.30 and 5,447.22

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Solution

The fourth proportional to 9,696.38, 13,380.30 and 5,447.22 is: 7,516.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.38 : 13,380.30 = 5,447.22 : x
  2. Step 2: Convert to fraction form
    9,696.38/13,380.30 = 5,447.22/x
  3. Step 3: Cross multiply
    9,696.38x = 13,380.30 × 5,447.22
  4. Step 4: Simplify right side
    9,696.38x = 72,885,387.59
  5. Step 5: Solve for x
    x = 72,885,387.59/9,696.38
  6. Step 6: Final answer
    x = 7,516.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.