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Finding the Fourth Proportional to 7,027.96, 9,698.70 and 3,884.28

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Solution

The fourth proportional to 7,027.96, 9,698.70 and 3,884.28 is: 5,360.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,027.96 : 9,698.70 = 3,884.28 : x
  2. Step 2: Convert to fraction form
    7,027.96/9,698.70 = 3,884.28/x
  3. Step 3: Cross multiply
    7,027.96x = 9,698.70 × 3,884.28
  4. Step 4: Simplify right side
    7,027.96x = 37,672,466.44
  5. Step 5: Solve for x
    x = 37,672,466.44/7,027.96
  6. Step 6: Final answer
    x = 5,360.37

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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.