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Finding the Fourth Proportional to 9,806.70, 14,710.05 and 3,231.30

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Solution

The fourth proportional to 9,806.70, 14,710.05 and 3,231.30 is: 4,846.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.70 : 14,710.05 = 3,231.30 : x
  2. Step 2: Convert to fraction form
    9,806.70/14,710.05 = 3,231.30/x
  3. Step 3: Cross multiply
    9,806.70x = 14,710.05 × 3,231.30
  4. Step 4: Simplify right side
    9,806.70x = 47,532,584.57
  5. Step 5: Solve for x
    x = 47,532,584.57/9,806.70
  6. Step 6: Final answer
    x = 4,846.95

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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.