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Finding the Fourth Proportional to 6,365.48, 9,546.60 and 1,982.12

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Solution

The fourth proportional to 6,365.48, 9,546.60 and 1,982.12 is: 2,972.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.48 : 9,546.60 = 1,982.12 : x
  2. Step 2: Convert to fraction form
    6,365.48/9,546.60 = 1,982.12/x
  3. Step 3: Cross multiply
    6,365.48x = 9,546.60 × 1,982.12
  4. Step 4: Simplify right side
    6,365.48x = 18,922,506.79
  5. Step 5: Solve for x
    x = 18,922,506.79/6,365.48
  6. Step 6: Final answer
    x = 2,972.68

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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.