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Finding the Fourth Proportional to 6,452.14, 9,684.15 and 3,991.77

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Solution

The fourth proportional to 6,452.14, 9,684.15 and 3,991.77 is: 5,991.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,452.14 : 9,684.15 = 3,991.77 : x
  2. Step 2: Convert to fraction form
    6,452.14/9,684.15 = 3,991.77/x
  3. Step 3: Cross multiply
    6,452.14x = 9,684.15 × 3,991.77
  4. Step 4: Simplify right side
    6,452.14x = 38,656,851.02
  5. Step 5: Solve for x
    x = 38,656,851.02/6,452.14
  6. Step 6: Final answer
    x = 5,991.32

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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.