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Finding the Fourth Proportional to 7,093.43, 9,790.02 and 4,262.38

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Solution

The fourth proportional to 7,093.43, 9,790.02 and 4,262.38 is: 5,882.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.43 : 9,790.02 = 4,262.38 : x
  2. Step 2: Convert to fraction form
    7,093.43/9,790.02 = 4,262.38/x
  3. Step 3: Cross multiply
    7,093.43x = 9,790.02 × 4,262.38
  4. Step 4: Simplify right side
    7,093.43x = 41,728,785.45
  5. Step 5: Solve for x
    x = 41,728,785.45/7,093.43
  6. Step 6: Final answer
    x = 5,882.74

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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.