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Finding the Fourth Proportional to 9,250.82, 13,876.30 and 3,704.64

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Solution

The fourth proportional to 9,250.82, 13,876.30 and 3,704.64 is: 5,556.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.82 : 13,876.30 = 3,704.64 : x
  2. Step 2: Convert to fraction form
    9,250.82/13,876.30 = 3,704.64/x
  3. Step 3: Cross multiply
    9,250.82x = 13,876.30 × 3,704.64
  4. Step 4: Simplify right side
    9,250.82x = 51,406,696.03
  5. Step 5: Solve for x
    x = 51,406,696.03/9,250.82
  6. Step 6: Final answer
    x = 5,556.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.