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Finding the Fourth Proportional to 6,114.04, 9,171.12 and 2,218.64

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Solution

The fourth proportional to 6,114.04, 9,171.12 and 2,218.64 is: 3,327.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.04 : 9,171.12 = 2,218.64 : x
  2. Step 2: Convert to fraction form
    6,114.04/9,171.12 = 2,218.64/x
  3. Step 3: Cross multiply
    6,114.04x = 9,171.12 × 2,218.64
  4. Step 4: Simplify right side
    6,114.04x = 20,347,413.68
  5. Step 5: Solve for x
    x = 20,347,413.68/6,114.04
  6. Step 6: Final answer
    x = 3,327.98

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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.