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Finding the Fourth Proportional to 9,806.65, 14,706.09 and 3,563.26

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Solution

The fourth proportional to 9,806.65, 14,706.09 and 3,563.26 is: 5,343.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.65 : 14,706.09 = 3,563.26 : x
  2. Step 2: Convert to fraction form
    9,806.65/14,706.09 = 3,563.26/x
  3. Step 3: Cross multiply
    9,806.65x = 14,706.09 × 3,563.26
  4. Step 4: Simplify right side
    9,806.65x = 52,401,585.49
  5. Step 5: Solve for x
    x = 52,401,585.49/9,806.65
  6. Step 6: Final answer
    x = 5,343.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.