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Finding the Fourth Proportional to 6,485.14, 8,949.66 and 3,967.20

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Solution

The fourth proportional to 6,485.14, 8,949.66 and 3,967.20 is: 5,474.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.14 : 8,949.66 = 3,967.20 : x
  2. Step 2: Convert to fraction form
    6,485.14/8,949.66 = 3,967.20/x
  3. Step 3: Cross multiply
    6,485.14x = 8,949.66 × 3,967.20
  4. Step 4: Simplify right side
    6,485.14x = 35,505,091.15
  5. Step 5: Solve for x
    x = 35,505,091.15/6,485.14
  6. Step 6: Final answer
    x = 5,474.84

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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.