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Finding the Fourth Proportional to 9,768.81, 14,653.67 and 2,843.31

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Solution

The fourth proportional to 9,768.81, 14,653.67 and 2,843.31 is: 4,265.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.81 : 14,653.67 = 2,843.31 : x
  2. Step 2: Convert to fraction form
    9,768.81/14,653.67 = 2,843.31/x
  3. Step 3: Cross multiply
    9,768.81x = 14,653.67 × 2,843.31
  4. Step 4: Simplify right side
    9,768.81x = 41,664,912.23
  5. Step 5: Solve for x
    x = 41,664,912.23/9,768.81
  6. Step 6: Final answer
    x = 4,265.10

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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.