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Finding the Fourth Proportional to 9,558, 13,166.52 and 8,137.12

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Solution

The fourth proportional to 9,558, 13,166.52 and 8,137.12 is: 11,209.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,558 : 13,166.52 = 8,137.12 : x
  2. Step 2: Convert to fraction form
    9,558/13,166.52 = 8,137.12/x
  3. Step 3: Cross multiply
    9,558x = 13,166.52 × 8,137.12
  4. Step 4: Simplify right side
    9,558x = 107,137,553.22
  5. Step 5: Solve for x
    x = 107,137,553.22/9,558
  6. Step 6: Final answer
    x = 11,209.20

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Why These Related Problems?

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