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Finding the Fourth Proportional to 9,727.70, 14,591.64 and 3,882.94

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Solution

The fourth proportional to 9,727.70, 14,591.64 and 3,882.94 is: 5,824.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,727.70 : 14,591.64 = 3,882.94 : x
  2. Step 2: Convert to fraction form
    9,727.70/14,591.64 = 3,882.94/x
  3. Step 3: Cross multiply
    9,727.70x = 14,591.64 × 3,882.94
  4. Step 4: Simplify right side
    9,727.70x = 56,658,440.70
  5. Step 5: Solve for x
    x = 56,658,440.70/9,727.70
  6. Step 6: Final answer
    x = 5,824.45

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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.