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Finding the Fourth Proportional to 9,806.10, 14,704.54 and 3,561.70

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Solution

The fourth proportional to 9,806.10, 14,704.54 and 3,561.70 is: 5,340.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.10 : 14,704.54 = 3,561.70 : x
  2. Step 2: Convert to fraction form
    9,806.10/14,704.54 = 3,561.70/x
  3. Step 3: Cross multiply
    9,806.10x = 14,704.54 × 3,561.70
  4. Step 4: Simplify right side
    9,806.10x = 52,373,160.12
  5. Step 5: Solve for x
    x = 52,373,160.12/9,806.10
  6. Step 6: Final answer
    x = 5,340.88

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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.