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Finding the Fourth Proportional to 9,367, 12,926.46 and 5,175.25

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Solution

The fourth proportional to 9,367, 12,926.46 and 5,175.25 is: 7,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,367 : 12,926.46 = 5,175.25 : x
  2. Step 2: Convert to fraction form
    9,367/12,926.46 = 5,175.25/x
  3. Step 3: Cross multiply
    9,367x = 12,926.46 × 5,175.25
  4. Step 4: Simplify right side
    9,367x = 66,897,662.12
  5. Step 5: Solve for x
    x = 66,897,662.12/9,367
  6. Step 6: Final answer
    x = 7,141.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.