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Finding the Fourth Proportional to 7,171.32, 9,896.46 and 4,027.54

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Solution

The fourth proportional to 7,171.32, 9,896.46 and 4,027.54 is: 5,558.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,171.32 : 9,896.46 = 4,027.54 : x
  2. Step 2: Convert to fraction form
    7,171.32/9,896.46 = 4,027.54/x
  3. Step 3: Cross multiply
    7,171.32x = 9,896.46 × 4,027.54
  4. Step 4: Simplify right side
    7,171.32x = 39,858,388.51
  5. Step 5: Solve for x
    x = 39,858,388.51/7,171.32
  6. Step 6: Final answer
    x = 5,558.03

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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.