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Finding the Fourth Proportional to 9,538, 14,310.16 and 3,694.66

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Solution

The fourth proportional to 9,538, 14,310.16 and 3,694.66 is: 5,543.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538 : 14,310.16 = 3,694.66 : x
  2. Step 2: Convert to fraction form
    9,538/14,310.16 = 3,694.66/x
  3. Step 3: Cross multiply
    9,538x = 14,310.16 × 3,694.66
  4. Step 4: Simplify right side
    9,538x = 52,871,175.75
  5. Step 5: Solve for x
    x = 52,871,175.75/9,538
  6. Step 6: Final answer
    x = 5,543.21

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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.