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Finding the Fourth Proportional to 6,426.07, 9,639.87 and 2,265.22

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Solution

The fourth proportional to 6,426.07, 9,639.87 and 2,265.22 is: 3,398.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.07 : 9,639.87 = 2,265.22 : x
  2. Step 2: Convert to fraction form
    6,426.07/9,639.87 = 2,265.22/x
  3. Step 3: Cross multiply
    6,426.07x = 9,639.87 × 2,265.22
  4. Step 4: Simplify right side
    6,426.07x = 21,836,382.02
  5. Step 5: Solve for x
    x = 21,836,382.02/6,426.07
  6. Step 6: Final answer
    x = 3,398.09

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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.