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Finding the Fourth Proportional to 7,027.97, 9,698.60 and 3,884.16

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Solution

The fourth proportional to 7,027.97, 9,698.60 and 3,884.16 is: 5,360.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.97 : 9,698.60 = 3,884.16 : x
  2. Step 2: Convert to fraction form
    7,027.97/9,698.60 = 3,884.16/x
  3. Step 3: Cross multiply
    7,027.97x = 9,698.60 × 3,884.16
  4. Step 4: Simplify right side
    7,027.97x = 37,670,872.95
  5. Step 5: Solve for x
    x = 37,670,872.95/7,027.97
  6. Step 6: Final answer
    x = 5,360.14

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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.