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Finding the Fourth Proportional to 6,543.92, 9,816.43 and 2,846.28

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Solution

The fourth proportional to 6,543.92, 9,816.43 and 2,846.28 is: 4,269.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,543.92 : 9,816.43 = 2,846.28 : x
  2. Step 2: Convert to fraction form
    6,543.92/9,816.43 = 2,846.28/x
  3. Step 3: Cross multiply
    6,543.92x = 9,816.43 × 2,846.28
  4. Step 4: Simplify right side
    6,543.92x = 27,940,308.38
  5. Step 5: Solve for x
    x = 27,940,308.38/6,543.92
  6. Step 6: Final answer
    x = 4,269.66

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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.