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Finding the Fourth Proportional to 7,205.84, 9,944.16 and 4,019.04

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Solution

The fourth proportional to 7,205.84, 9,944.16 and 4,019.04 is: 5,546.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.84 : 9,944.16 = 4,019.04 : x
  2. Step 2: Convert to fraction form
    7,205.84/9,944.16 = 4,019.04/x
  3. Step 3: Cross multiply
    7,205.84x = 9,944.16 × 4,019.04
  4. Step 4: Simplify right side
    7,205.84x = 39,965,976.81
  5. Step 5: Solve for x
    x = 39,965,976.81/7,205.84
  6. Step 6: Final answer
    x = 5,546.33

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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.