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Finding the Fourth Proportional to 9,152.21, 12,640.41 and 6,162.85

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Solution

The fourth proportional to 9,152.21, 12,640.41 and 6,162.85 is: 8,511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.21 : 12,640.41 = 6,162.85 : x
  2. Step 2: Convert to fraction form
    9,152.21/12,640.41 = 6,162.85/x
  3. Step 3: Cross multiply
    9,152.21x = 12,640.41 × 6,162.85
  4. Step 4: Simplify right side
    9,152.21x = 77,900,919.17
  5. Step 5: Solve for x
    x = 77,900,919.17/9,152.21
  6. Step 6: Final answer
    x = 8,511.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.