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Finding the Fourth Proportional to 9,771.88, 14,660.32 and 2,846.36

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Solution

The fourth proportional to 9,771.88, 14,660.32 and 2,846.36 is: 4,270.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.88 : 14,660.32 = 2,846.36 : x
  2. Step 2: Convert to fraction form
    9,771.88/14,660.32 = 2,846.36/x
  3. Step 3: Cross multiply
    9,771.88x = 14,660.32 × 2,846.36
  4. Step 4: Simplify right side
    9,771.88x = 41,728,548.44
  5. Step 5: Solve for x
    x = 41,728,548.44/9,771.88
  6. Step 6: Final answer
    x = 4,270.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.