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Finding the Fourth Proportional to 6,128.55, 9,184.71 and 2,229.21

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Solution

The fourth proportional to 6,128.55, 9,184.71 and 2,229.21 is: 3,340.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,128.55 : 9,184.71 = 2,229.21 : x
  2. Step 2: Convert to fraction form
    6,128.55/9,184.71 = 2,229.21/x
  3. Step 3: Cross multiply
    6,128.55x = 9,184.71 × 2,229.21
  4. Step 4: Simplify right side
    6,128.55x = 20,474,647.38
  5. Step 5: Solve for x
    x = 20,474,647.38/6,128.55
  6. Step 6: Final answer
    x = 3,340.86

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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.