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Finding the Fourth Proportional to 6,322.31, 9,484.68 and 2,426.41

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Solution

The fourth proportional to 6,322.31, 9,484.68 and 2,426.41 is: 3,640.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.31 : 9,484.68 = 2,426.41 : x
  2. Step 2: Convert to fraction form
    6,322.31/9,484.68 = 2,426.41/x
  3. Step 3: Cross multiply
    6,322.31x = 9,484.68 × 2,426.41
  4. Step 4: Simplify right side
    6,322.31x = 23,013,743.35
  5. Step 5: Solve for x
    x = 23,013,743.35/6,322.31
  6. Step 6: Final answer
    x = 3,640.09

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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.