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Finding the Fourth Proportional to 9,942.26, 13,715.26 and 7,580.30

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Solution

The fourth proportional to 9,942.26, 13,715.26 and 7,580.30 is: 10,456.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,942.26 : 13,715.26 = 7,580.30 : x
  2. Step 2: Convert to fraction form
    9,942.26/13,715.26 = 7,580.30/x
  3. Step 3: Cross multiply
    9,942.26x = 13,715.26 × 7,580.30
  4. Step 4: Simplify right side
    9,942.26x = 103,965,785.38
  5. Step 5: Solve for x
    x = 103,965,785.38/9,942.26
  6. Step 6: Final answer
    x = 10,456.96

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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.