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Finding the Fourth Proportional to 9,846.44, 14,764.73 and 3,270.32

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Solution

The fourth proportional to 9,846.44, 14,764.73 and 3,270.32 is: 4,903.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.44 : 14,764.73 = 3,270.32 : x
  2. Step 2: Convert to fraction form
    9,846.44/14,764.73 = 3,270.32/x
  3. Step 3: Cross multiply
    9,846.44x = 14,764.73 × 3,270.32
  4. Step 4: Simplify right side
    9,846.44x = 48,285,301.64
  5. Step 5: Solve for x
    x = 48,285,301.64/9,846.44
  6. Step 6: Final answer
    x = 4,903.84

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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.