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Finding the Fourth Proportional to 9,806.94, 14,708.96 and 3,232.27

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Solution

The fourth proportional to 9,806.94, 14,708.96 and 3,232.27 is: 4,847.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.94 : 14,708.96 = 3,232.27 : x
  2. Step 2: Convert to fraction form
    9,806.94/14,708.96 = 3,232.27/x
  3. Step 3: Cross multiply
    9,806.94x = 14,708.96 × 3,232.27
  4. Step 4: Simplify right side
    9,806.94x = 47,543,344.49
  5. Step 5: Solve for x
    x = 47,543,344.49/9,806.94
  6. Step 6: Final answer
    x = 4,847.93

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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.