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Finding the Fourth Proportional to 9,806.24, 14,711.52 and 9,375.68

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Solution

The fourth proportional to 9,806.24, 14,711.52 and 9,375.68 is: 14,065.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.24 : 14,711.52 = 9,375.68 : x
  2. Step 2: Convert to fraction form
    9,806.24/14,711.52 = 9,375.68/x
  3. Step 3: Cross multiply
    9,806.24x = 14,711.52 × 9,375.68
  4. Step 4: Simplify right side
    9,806.24x = 137,930,503.83
  5. Step 5: Solve for x
    x = 137,930,503.83/9,806.24
  6. Step 6: Final answer
    x = 14,065.59

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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.