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Finding the Fourth Proportional to 6,365.31, 9,548.37 and 1,982.94

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Solution

The fourth proportional to 6,365.31, 9,548.37 and 1,982.94 is: 2,974.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.31 : 9,548.37 = 1,982.94 : x
  2. Step 2: Convert to fraction form
    6,365.31/9,548.37 = 1,982.94/x
  3. Step 3: Cross multiply
    6,365.31x = 9,548.37 × 1,982.94
  4. Step 4: Simplify right side
    6,365.31x = 18,933,844.81
  5. Step 5: Solve for x
    x = 18,933,844.81/6,365.31
  6. Step 6: Final answer
    x = 2,974.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.