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Finding the Fourth Proportional to 6,078.70, 9,105.36 and 3,148.12

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Solution

The fourth proportional to 6,078.70, 9,105.36 and 3,148.12 is: 4,715.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,078.70 : 9,105.36 = 3,148.12 : x
  2. Step 2: Convert to fraction form
    6,078.70/9,105.36 = 3,148.12/x
  3. Step 3: Cross multiply
    6,078.70x = 9,105.36 × 3,148.12
  4. Step 4: Simplify right side
    6,078.70x = 28,664,765.92
  5. Step 5: Solve for x
    x = 28,664,765.92/6,078.70
  6. Step 6: Final answer
    x = 4,715.61

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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.