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Finding the Fourth Proportional to 6,331.42, 9,497.34 and 2,382.22

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Solution

The fourth proportional to 6,331.42, 9,497.34 and 2,382.22 is: 3,573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.42 : 9,497.34 = 2,382.22 : x
  2. Step 2: Convert to fraction form
    6,331.42/9,497.34 = 2,382.22/x
  3. Step 3: Cross multiply
    6,331.42x = 9,497.34 × 2,382.22
  4. Step 4: Simplify right side
    6,331.42x = 22,624,753.29
  5. Step 5: Solve for x
    x = 22,624,753.29/6,331.42
  6. Step 6: Final answer
    x = 3,573.41

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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.