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Finding the Fourth Proportional to 6,287.24, 9,430.94 and 2,728.54

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Solution

The fourth proportional to 6,287.24, 9,430.94 and 2,728.54 is: 4,092.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.24 : 9,430.94 = 2,728.54 : x
  2. Step 2: Convert to fraction form
    6,287.24/9,430.94 = 2,728.54/x
  3. Step 3: Cross multiply
    6,287.24x = 9,430.94 × 2,728.54
  4. Step 4: Simplify right side
    6,287.24x = 25,732,715.64
  5. Step 5: Solve for x
    x = 25,732,715.64/6,287.24
  6. Step 6: Final answer
    x = 4,092.85

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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.