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Finding the Fourth Proportional to 9,206.46, 13,806.59 and 6,434.44

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Solution

The fourth proportional to 9,206.46, 13,806.59 and 6,434.44 is: 9,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.46 : 13,806.59 = 6,434.44 : x
  2. Step 2: Convert to fraction form
    9,206.46/13,806.59 = 6,434.44/x
  3. Step 3: Cross multiply
    9,206.46x = 13,806.59 × 6,434.44
  4. Step 4: Simplify right side
    9,206.46x = 88,837,608.27
  5. Step 5: Solve for x
    x = 88,837,608.27/9,206.46
  6. Step 6: Final answer
    x = 9,649.49

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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.