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Finding the Fourth Proportional to 9,771.82, 14,656.31 and 3,198.26

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Solution

The fourth proportional to 9,771.82, 14,656.31 and 3,198.26 is: 4,796.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.82 : 14,656.31 = 3,198.26 : x
  2. Step 2: Convert to fraction form
    9,771.82/14,656.31 = 3,198.26/x
  3. Step 3: Cross multiply
    9,771.82x = 14,656.31 × 3,198.26
  4. Step 4: Simplify right side
    9,771.82x = 46,874,674.03
  5. Step 5: Solve for x
    x = 46,874,674.03/9,771.82
  6. Step 6: Final answer
    x = 4,796.93

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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.