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Finding the Fourth Proportional to 9,806.26, 14,704.77 and 3,561.87

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Solution

The fourth proportional to 9,806.26, 14,704.77 and 3,561.87 is: 5,341.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.26 : 14,704.77 = 3,561.87 : x
  2. Step 2: Convert to fraction form
    9,806.26/14,704.77 = 3,561.87/x
  3. Step 3: Cross multiply
    9,806.26x = 14,704.77 × 3,561.87
  4. Step 4: Simplify right side
    9,806.26x = 52,376,479.12
  5. Step 5: Solve for x
    x = 52,376,479.12/9,806.26
  6. Step 6: Final answer
    x = 5,341.13

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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.