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Finding the Fourth Proportional to 9,806.72, 14,710.07 and 3,967.43

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Solution

The fourth proportional to 9,806.72, 14,710.07 and 3,967.43 is: 5,951.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.72 : 14,710.07 = 3,967.43 : x
  2. Step 2: Convert to fraction form
    9,806.72/14,710.07 = 3,967.43/x
  3. Step 3: Cross multiply
    9,806.72x = 14,710.07 × 3,967.43
  4. Step 4: Simplify right side
    9,806.72x = 58,361,099.47
  5. Step 5: Solve for x
    x = 58,361,099.47/9,806.72
  6. Step 6: Final answer
    x = 5,951.14

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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.