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Finding the Fourth Proportional to 9,636, 13,217.72 and 9,552.80

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Solution

The fourth proportional to 9,636, 13,217.72 and 9,552.80 is: 13,103.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636 : 13,217.72 = 9,552.80 : x
  2. Step 2: Convert to fraction form
    9,636/13,217.72 = 9,552.80/x
  3. Step 3: Cross multiply
    9,636x = 13,217.72 × 9,552.80
  4. Step 4: Simplify right side
    9,636x = 126,266,235.62
  5. Step 5: Solve for x
    x = 126,266,235.62/9,636
  6. Step 6: Final answer
    x = 13,103.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.