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Finding the Fourth Proportional to 6,128.36, 9,184.43 and 2,229.02

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Solution

The fourth proportional to 6,128.36, 9,184.43 and 2,229.02 is: 3,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.36 : 9,184.43 = 2,229.02 : x
  2. Step 2: Convert to fraction form
    6,128.36/9,184.43 = 2,229.02/x
  3. Step 3: Cross multiply
    6,128.36x = 9,184.43 × 2,229.02
  4. Step 4: Simplify right side
    6,128.36x = 20,472,221.09
  5. Step 5: Solve for x
    x = 20,472,221.09/6,128.36
  6. Step 6: Final answer
    x = 3,340.57

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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.