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Finding the Fourth Proportional to 7,027.92, 9,698.22 and 3,884.04

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Solution

The fourth proportional to 7,027.92, 9,698.22 and 3,884.04 is: 5,359.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.92 : 9,698.22 = 3,884.04 : x
  2. Step 2: Convert to fraction form
    7,027.92/9,698.22 = 3,884.04/x
  3. Step 3: Cross multiply
    7,027.92x = 9,698.22 × 3,884.04
  4. Step 4: Simplify right side
    7,027.92x = 37,668,274.41
  5. Step 5: Solve for x
    x = 37,668,274.41/7,027.92
  6. Step 6: Final answer
    x = 5,359.80

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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.