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Finding the Fourth Proportional to 9,274.92, 13,912.38 and 2,348.88

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Solution

The fourth proportional to 9,274.92, 13,912.38 and 2,348.88 is: 3,523.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.92 : 13,912.38 = 2,348.88 : x
  2. Step 2: Convert to fraction form
    9,274.92/13,912.38 = 2,348.88/x
  3. Step 3: Cross multiply
    9,274.92x = 13,912.38 × 2,348.88
  4. Step 4: Simplify right side
    9,274.92x = 32,678,511.13
  5. Step 5: Solve for x
    x = 32,678,511.13/9,274.92
  6. Step 6: Final answer
    x = 3,523.32

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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.