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Finding the Fourth Proportional to 9,806.65, 14,709.96 and 3,967.36

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Solution

The fourth proportional to 9,806.65, 14,709.96 and 3,967.36 is: 5,951.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.65 : 14,709.96 = 3,967.36 : x
  2. Step 2: Convert to fraction form
    9,806.65/14,709.96 = 3,967.36/x
  3. Step 3: Cross multiply
    9,806.65x = 14,709.96 × 3,967.36
  4. Step 4: Simplify right side
    9,806.65x = 58,359,706.91
  5. Step 5: Solve for x
    x = 58,359,706.91/9,806.65
  6. Step 6: Final answer
    x = 5,951.03

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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.