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Finding the Fourth Proportional to 9,511.20, 13,337.55 and 9,511.20

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Solution

The fourth proportional to 9,511.20, 13,337.55 and 9,511.20 is: 13,337.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.20 : 13,337.55 = 9,511.20 : x
  2. Step 2: Convert to fraction form
    9,511.20/13,337.55 = 9,511.20/x
  3. Step 3: Cross multiply
    9,511.20x = 13,337.55 × 9,511.20
  4. Step 4: Simplify right side
    9,511.20x = 126,856,105.56
  5. Step 5: Solve for x
    x = 126,856,105.56/9,511.20
  6. Step 6: Final answer
    x = 13,337.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.