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Finding the Fourth Proportional to 9,634.97, 14,452.46 and 2,709.47

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Solution

The fourth proportional to 9,634.97, 14,452.46 and 2,709.47 is: 4,064.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,634.97 : 14,452.46 = 2,709.47 : x
  2. Step 2: Convert to fraction form
    9,634.97/14,452.46 = 2,709.47/x
  3. Step 3: Cross multiply
    9,634.97x = 14,452.46 × 2,709.47
  4. Step 4: Simplify right side
    9,634.97x = 39,158,529.38
  5. Step 5: Solve for x
    x = 39,158,529.38/9,634.97
  6. Step 6: Final answer
    x = 4,064.21

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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.