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Finding the Fourth Proportional to 7,091.75, 9,786.93 and 3,948.14

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Solution

The fourth proportional to 7,091.75, 9,786.93 and 3,948.14 is: 5,448.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.75 : 9,786.93 = 3,948.14 : x
  2. Step 2: Convert to fraction form
    7,091.75/9,786.93 = 3,948.14/x
  3. Step 3: Cross multiply
    7,091.75x = 9,786.93 × 3,948.14
  4. Step 4: Simplify right side
    7,091.75x = 38,640,169.81
  5. Step 5: Solve for x
    x = 38,640,169.81/7,091.75
  6. Step 6: Final answer
    x = 5,448.61

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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.