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Finding the Fourth Proportional to 9,824.38, 14,736.73 and 5,469.52

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Solution

The fourth proportional to 9,824.38, 14,736.73 and 5,469.52 is: 8,204.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.38 : 14,736.73 = 5,469.52 : x
  2. Step 2: Convert to fraction form
    9,824.38/14,736.73 = 5,469.52/x
  3. Step 3: Cross multiply
    9,824.38x = 14,736.73 × 5,469.52
  4. Step 4: Simplify right side
    9,824.38x = 80,602,839.47
  5. Step 5: Solve for x
    x = 80,602,839.47/9,824.38
  6. Step 6: Final answer
    x = 8,204.37

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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.