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Finding the Fourth Proportional to 7,234.54, 9,983.18 and 4,047.28

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Solution

The fourth proportional to 7,234.54, 9,983.18 and 4,047.28 is: 5,584.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.54 : 9,983.18 = 4,047.28 : x
  2. Step 2: Convert to fraction form
    7,234.54/9,983.18 = 4,047.28/x
  3. Step 3: Cross multiply
    7,234.54x = 9,983.18 × 4,047.28
  4. Step 4: Simplify right side
    7,234.54x = 40,404,724.75
  5. Step 5: Solve for x
    x = 40,404,724.75/7,234.54
  6. Step 6: Final answer
    x = 5,584.97

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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.