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Finding the Fourth Proportional to 9,806.56, 14,711.96 and 3,233.40

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Solution

The fourth proportional to 9,806.56, 14,711.96 and 3,233.40 is: 4,850.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.56 : 14,711.96 = 3,233.40 : x
  2. Step 2: Convert to fraction form
    9,806.56/14,711.96 = 3,233.40/x
  3. Step 3: Cross multiply
    9,806.56x = 14,711.96 × 3,233.40
  4. Step 4: Simplify right side
    9,806.56x = 47,569,651.46
  5. Step 5: Solve for x
    x = 47,569,651.46/9,806.56
  6. Step 6: Final answer
    x = 4,850.80

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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.