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Finding the Fourth Proportional to 7,093.64, 9,789.30 and 3,950

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Solution

The fourth proportional to 7,093.64, 9,789.30 and 3,950 is: 5,451.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.64 : 9,789.30 = 3,950 : x
  2. Step 2: Convert to fraction form
    7,093.64/9,789.30 = 3,950/x
  3. Step 3: Cross multiply
    7,093.64x = 9,789.30 × 3,950
  4. Step 4: Simplify right side
    7,093.64x = 38,667,735
  5. Step 5: Solve for x
    x = 38,667,735/7,093.64
  6. Step 6: Final answer
    x = 5,451.04

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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.