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Finding the Fourth Proportional to 9,806.92, 14,713.98 and 3,965.20

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Solution

The fourth proportional to 9,806.92, 14,713.98 and 3,965.20 is: 5,949.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.92 : 14,713.98 = 3,965.20 : x
  2. Step 2: Convert to fraction form
    9,806.92/14,713.98 = 3,965.20/x
  3. Step 3: Cross multiply
    9,806.92x = 14,713.98 × 3,965.20
  4. Step 4: Simplify right side
    9,806.92x = 58,343,873.50
  5. Step 5: Solve for x
    x = 58,343,873.50/9,806.92
  6. Step 6: Final answer
    x = 5,949.26

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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.