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Finding the Fourth Proportional to 7,105.72, 9,805.76 and 3,919.31

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Solution

The fourth proportional to 7,105.72, 9,805.76 and 3,919.31 is: 5,408.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,105.72 : 9,805.76 = 3,919.31 : x
  2. Step 2: Convert to fraction form
    7,105.72/9,805.76 = 3,919.31/x
  3. Step 3: Cross multiply
    7,105.72x = 9,805.76 × 3,919.31
  4. Step 4: Simplify right side
    7,105.72x = 38,431,744.60
  5. Step 5: Solve for x
    x = 38,431,744.60/7,105.72
  6. Step 6: Final answer
    x = 5,408.57

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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.