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Finding the Fourth Proportional to 9,777.26, 14,662.82 and 3,201.98

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Solution

The fourth proportional to 9,777.26, 14,662.82 and 3,201.98 is: 4,801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.26 : 14,662.82 = 3,201.98 : x
  2. Step 2: Convert to fraction form
    9,777.26/14,662.82 = 3,201.98/x
  3. Step 3: Cross multiply
    9,777.26x = 14,662.82 × 3,201.98
  4. Step 4: Simplify right side
    9,777.26x = 46,950,056.38
  5. Step 5: Solve for x
    x = 46,950,056.38/9,777.26
  6. Step 6: Final answer
    x = 4,801.96

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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.