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Finding the Fourth Proportional to 6,009.60, 9,014.43 and 3,942.69

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Solution

The fourth proportional to 6,009.60, 9,014.43 and 3,942.69 is: 5,914.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,009.60 : 9,014.43 = 3,942.69 : x
  2. Step 2: Convert to fraction form
    6,009.60/9,014.43 = 3,942.69/x
  3. Step 3: Cross multiply
    6,009.60x = 9,014.43 × 3,942.69
  4. Step 4: Simplify right side
    6,009.60x = 35,541,103.02
  5. Step 5: Solve for x
    x = 35,541,103.02/6,009.60
  6. Step 6: Final answer
    x = 5,914.05

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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.