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Finding the Fourth Proportional to 9,797.56, 14,698.46 and 3,224.41

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Solution

The fourth proportional to 9,797.56, 14,698.46 and 3,224.41 is: 4,837.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.56 : 14,698.46 = 3,224.41 : x
  2. Step 2: Convert to fraction form
    9,797.56/14,698.46 = 3,224.41/x
  3. Step 3: Cross multiply
    9,797.56x = 14,698.46 × 3,224.41
  4. Step 4: Simplify right side
    9,797.56x = 47,393,832.72
  5. Step 5: Solve for x
    x = 47,393,832.72/9,797.56
  6. Step 6: Final answer
    x = 4,837.31

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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.