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Finding the Fourth Proportional to 6,331.92, 9,498.09 and 2,382.72

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Solution

The fourth proportional to 6,331.92, 9,498.09 and 2,382.72 is: 3,574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.92 : 9,498.09 = 2,382.72 : x
  2. Step 2: Convert to fraction form
    6,331.92/9,498.09 = 2,382.72/x
  3. Step 3: Cross multiply
    6,331.92x = 9,498.09 × 2,382.72
  4. Step 4: Simplify right side
    6,331.92x = 22,631,289.00
  5. Step 5: Solve for x
    x = 22,631,289.00/6,331.92
  6. Step 6: Final answer
    x = 3,574.16

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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.