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Finding the Fourth Proportional to 9,203.26, 12,704.82 and 5,425.24

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Solution

The fourth proportional to 9,203.26, 12,704.82 and 5,425.24 is: 7,489.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.26 : 12,704.82 = 5,425.24 : x
  2. Step 2: Convert to fraction form
    9,203.26/12,704.82 = 5,425.24/x
  3. Step 3: Cross multiply
    9,203.26x = 12,704.82 × 5,425.24
  4. Step 4: Simplify right side
    9,203.26x = 68,926,697.66
  5. Step 5: Solve for x
    x = 68,926,697.66/9,203.26
  6. Step 6: Final answer
    x = 7,489.38

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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.