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Finding the Fourth Proportional to 9,540.96, 13,166.64 and 5,349.24

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Solution

The fourth proportional to 9,540.96, 13,166.64 and 5,349.24 is: 7,382.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,540.96 : 13,166.64 = 5,349.24 : x
  2. Step 2: Convert to fraction form
    9,540.96/13,166.64 = 5,349.24/x
  3. Step 3: Cross multiply
    9,540.96x = 13,166.64 × 5,349.24
  4. Step 4: Simplify right side
    9,540.96x = 70,431,517.35
  5. Step 5: Solve for x
    x = 70,431,517.35/9,540.96
  6. Step 6: Final answer
    x = 7,382.02

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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.