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Finding the Fourth Proportional to 9,350, 14,014.24 and 3,797.25

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Solution

The fourth proportional to 9,350, 14,014.24 and 3,797.25 is: 5,691.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,350 : 14,014.24 = 3,797.25 : x
  2. Step 2: Convert to fraction form
    9,350/14,014.24 = 3,797.25/x
  3. Step 3: Cross multiply
    9,350x = 14,014.24 × 3,797.25
  4. Step 4: Simplify right side
    9,350x = 53,215,572.84
  5. Step 5: Solve for x
    x = 53,215,572.84/9,350
  6. Step 6: Final answer
    x = 5,691.51

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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.