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Finding the Fourth Proportional to 7,091.57, 9,786.29 and 3,904.80

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Solution

The fourth proportional to 7,091.57, 9,786.29 and 3,904.80 is: 5,388.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.57 : 9,786.29 = 3,904.80 : x
  2. Step 2: Convert to fraction form
    7,091.57/9,786.29 = 3,904.80/x
  3. Step 3: Cross multiply
    7,091.57x = 9,786.29 × 3,904.80
  4. Step 4: Simplify right side
    7,091.57x = 38,213,485.67
  5. Step 5: Solve for x
    x = 38,213,485.67/7,091.57
  6. Step 6: Final answer
    x = 5,388.58

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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.