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Finding the Fourth Proportional to 9,798.92, 14,700.51 and 3,224.78

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Solution

The fourth proportional to 9,798.92, 14,700.51 and 3,224.78 is: 4,837.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.92 : 14,700.51 = 3,224.78 : x
  2. Step 2: Convert to fraction form
    9,798.92/14,700.51 = 3,224.78/x
  3. Step 3: Cross multiply
    9,798.92x = 14,700.51 × 3,224.78
  4. Step 4: Simplify right side
    9,798.92x = 47,405,910.64
  5. Step 5: Solve for x
    x = 47,405,910.64/9,798.92
  6. Step 6: Final answer
    x = 4,837.87

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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.