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Finding the Fourth Proportional to 7,138.07, 9,850.56 and 3,994.26

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Solution

The fourth proportional to 7,138.07, 9,850.56 and 3,994.26 is: 5,512.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138.07 : 9,850.56 = 3,994.26 : x
  2. Step 2: Convert to fraction form
    7,138.07/9,850.56 = 3,994.26/x
  3. Step 3: Cross multiply
    7,138.07x = 9,850.56 × 3,994.26
  4. Step 4: Simplify right side
    7,138.07x = 39,345,697.79
  5. Step 5: Solve for x
    x = 39,345,697.79/7,138.07
  6. Step 6: Final answer
    x = 5,512.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.