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Finding the Fourth Proportional to 7,027.38, 9,697.18 and 4,375.04

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Solution

The fourth proportional to 7,027.38, 9,697.18 and 4,375.04 is: 6,037.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.38 : 9,697.18 = 4,375.04 : x
  2. Step 2: Convert to fraction form
    7,027.38/9,697.18 = 4,375.04/x
  3. Step 3: Cross multiply
    7,027.38x = 9,697.18 × 4,375.04
  4. Step 4: Simplify right side
    7,027.38x = 42,425,550.39
  5. Step 5: Solve for x
    x = 42,425,550.39/7,027.38
  6. Step 6: Final answer
    x = 6,037.18

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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.