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Finding the Fourth Proportional to 9,274.72, 13,902.36 and 3,427.60

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Solution

The fourth proportional to 9,274.72, 13,902.36 and 3,427.60 is: 5,137.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.72 : 13,902.36 = 3,427.60 : x
  2. Step 2: Convert to fraction form
    9,274.72/13,902.36 = 3,427.60/x
  3. Step 3: Cross multiply
    9,274.72x = 13,902.36 × 3,427.60
  4. Step 4: Simplify right side
    9,274.72x = 47,651,729.14
  5. Step 5: Solve for x
    x = 47,651,729.14/9,274.72
  6. Step 6: Final answer
    x = 5,137.81

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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.