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Finding the Fourth Proportional to 9,224.10, 13,836.15 and 8,511.30

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Solution

The fourth proportional to 9,224.10, 13,836.15 and 8,511.30 is: 12,766.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224.10 : 13,836.15 = 8,511.30 : x
  2. Step 2: Convert to fraction form
    9,224.10/13,836.15 = 8,511.30/x
  3. Step 3: Cross multiply
    9,224.10x = 13,836.15 × 8,511.30
  4. Step 4: Simplify right side
    9,224.10x = 117,763,623.50
  5. Step 5: Solve for x
    x = 117,763,623.50/9,224.10
  6. Step 6: Final answer
    x = 12,766.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.