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Finding the Fourth Proportional to 9,846.80, 14,768.19 and 2,824.94

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Solution

The fourth proportional to 9,846.80, 14,768.19 and 2,824.94 is: 4,236.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.80 : 14,768.19 = 2,824.94 : x
  2. Step 2: Convert to fraction form
    9,846.80/14,768.19 = 2,824.94/x
  3. Step 3: Cross multiply
    9,846.80x = 14,768.19 × 2,824.94
  4. Step 4: Simplify right side
    9,846.80x = 41,719,162.69
  5. Step 5: Solve for x
    x = 41,719,162.69/9,846.80
  6. Step 6: Final answer
    x = 4,236.82

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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.