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Finding the Fourth Proportional to 6,344.66, 9,517.89 and 1,962.45

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Solution

The fourth proportional to 6,344.66, 9,517.89 and 1,962.45 is: 2,943.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.66 : 9,517.89 = 1,962.45 : x
  2. Step 2: Convert to fraction form
    6,344.66/9,517.89 = 1,962.45/x
  3. Step 3: Cross multiply
    6,344.66x = 9,517.89 × 1,962.45
  4. Step 4: Simplify right side
    6,344.66x = 18,678,411.93
  5. Step 5: Solve for x
    x = 18,678,411.93/6,344.66
  6. Step 6: Final answer
    x = 2,943.96

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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.