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Finding the Fourth Proportional to 6,155.88, 9,228.06 and 3,414.12

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Solution

The fourth proportional to 6,155.88, 9,228.06 and 3,414.12 is: 5,117.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,155.88 : 9,228.06 = 3,414.12 : x
  2. Step 2: Convert to fraction form
    6,155.88/9,228.06 = 3,414.12/x
  3. Step 3: Cross multiply
    6,155.88x = 9,228.06 × 3,414.12
  4. Step 4: Simplify right side
    6,155.88x = 31,505,704.21
  5. Step 5: Solve for x
    x = 31,505,704.21/6,155.88
  6. Step 6: Final answer
    x = 5,117.99

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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.