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Finding the Fourth Proportional to 6,472.27, 8,913.24 and 5,828.73

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Solution

The fourth proportional to 6,472.27, 8,913.24 and 5,828.73 is: 8,026.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.27 : 8,913.24 = 5,828.73 : x
  2. Step 2: Convert to fraction form
    6,472.27/8,913.24 = 5,828.73/x
  3. Step 3: Cross multiply
    6,472.27x = 8,913.24 × 5,828.73
  4. Step 4: Simplify right side
    6,472.27x = 51,952,824.82
  5. Step 5: Solve for x
    x = 51,952,824.82/6,472.27
  6. Step 6: Final answer
    x = 8,026.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.