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Finding the Fourth Proportional to 9,400.05, 14,093.73 and 4,135.05

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Solution

The fourth proportional to 9,400.05, 14,093.73 and 4,135.05 is: 6,199.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.05 : 14,093.73 = 4,135.05 : x
  2. Step 2: Convert to fraction form
    9,400.05/14,093.73 = 4,135.05/x
  3. Step 3: Cross multiply
    9,400.05x = 14,093.73 × 4,135.05
  4. Step 4: Simplify right side
    9,400.05x = 58,278,278.24
  5. Step 5: Solve for x
    x = 58,278,278.24/9,400.05
  6. Step 6: Final answer
    x = 6,199.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.