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Finding the Fourth Proportional to 6,344.71, 9,517.06 and 1,962.07

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Solution

The fourth proportional to 6,344.71, 9,517.06 and 1,962.07 is: 2,943.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.71 : 9,517.06 = 1,962.07 : x
  2. Step 2: Convert to fraction form
    6,344.71/9,517.06 = 1,962.07/x
  3. Step 3: Cross multiply
    6,344.71x = 9,517.06 × 1,962.07
  4. Step 4: Simplify right side
    6,344.71x = 18,673,137.91
  5. Step 5: Solve for x
    x = 18,673,137.91/6,344.71
  6. Step 6: Final answer
    x = 2,943.10

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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.