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Finding the Fourth Proportional to 7,205.87, 9,944.16 and 4,019.53

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Solution

The fourth proportional to 7,205.87, 9,944.16 and 4,019.53 is: 5,546.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.87 : 9,944.16 = 4,019.53 : x
  2. Step 2: Convert to fraction form
    7,205.87/9,944.16 = 4,019.53/x
  3. Step 3: Cross multiply
    7,205.87x = 9,944.16 × 4,019.53
  4. Step 4: Simplify right side
    7,205.87x = 39,970,849.44
  5. Step 5: Solve for x
    x = 39,970,849.44/7,205.87
  6. Step 6: Final answer
    x = 5,546.98

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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.