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Finding the Fourth Proportional to 9,963.68, 14,940.62 and 5,805.14

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Solution

The fourth proportional to 9,963.68, 14,940.62 and 5,805.14 is: 8,704.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.68 : 14,940.62 = 5,805.14 : x
  2. Step 2: Convert to fraction form
    9,963.68/14,940.62 = 5,805.14/x
  3. Step 3: Cross multiply
    9,963.68x = 14,940.62 × 5,805.14
  4. Step 4: Simplify right side
    9,963.68x = 86,732,390.79
  5. Step 5: Solve for x
    x = 86,732,390.79/9,963.68
  6. Step 6: Final answer
    x = 8,704.86

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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.