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Finding the Fourth Proportional to 9,771.75, 14,660.06 and 2,846.25

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Solution

The fourth proportional to 9,771.75, 14,660.06 and 2,846.25 is: 4,270.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.75 : 14,660.06 = 2,846.25 : x
  2. Step 2: Convert to fraction form
    9,771.75/14,660.06 = 2,846.25/x
  3. Step 3: Cross multiply
    9,771.75x = 14,660.06 × 2,846.25
  4. Step 4: Simplify right side
    9,771.75x = 41,726,181.54
  5. Step 5: Solve for x
    x = 41,726,181.54/9,771.75
  6. Step 6: Final answer
    x = 4,270.08

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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.