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Finding the Fourth Proportional to 6,728.92, 9,280.65 and 4,371.82

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Solution

The fourth proportional to 6,728.92, 9,280.65 and 4,371.82 is: 6,029.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,728.92 : 9,280.65 = 4,371.82 : x
  2. Step 2: Convert to fraction form
    6,728.92/9,280.65 = 4,371.82/x
  3. Step 3: Cross multiply
    6,728.92x = 9,280.65 × 4,371.82
  4. Step 4: Simplify right side
    6,728.92x = 40,573,331.28
  5. Step 5: Solve for x
    x = 40,573,331.28/6,728.92
  6. Step 6: Final answer
    x = 6,029.69

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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.