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Finding the Fourth Proportional to 9,634.53, 14,452.76 and 2,614.66

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Solution

The fourth proportional to 9,634.53, 14,452.76 and 2,614.66 is: 3,922.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.53 : 14,452.76 = 2,614.66 : x
  2. Step 2: Convert to fraction form
    9,634.53/14,452.76 = 2,614.66/x
  3. Step 3: Cross multiply
    9,634.53x = 14,452.76 × 2,614.66
  4. Step 4: Simplify right side
    9,634.53x = 37,789,023.87
  5. Step 5: Solve for x
    x = 37,789,023.87/9,634.53
  6. Step 6: Final answer
    x = 3,922.25

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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.