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Finding the Fourth Proportional to 9,274.64, 13,910.13 and 3,725.12

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Solution

The fourth proportional to 9,274.64, 13,910.13 and 3,725.12 is: 5,586.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.64 : 13,910.13 = 3,725.12 : x
  2. Step 2: Convert to fraction form
    9,274.64/13,910.13 = 3,725.12/x
  3. Step 3: Cross multiply
    9,274.64x = 13,910.13 × 3,725.12
  4. Step 4: Simplify right side
    9,274.64x = 51,816,938.24
  5. Step 5: Solve for x
    x = 51,816,938.24/9,274.64
  6. Step 6: Final answer
    x = 5,586.95

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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.