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Finding the Fourth Proportional to 9,678.27, 13,351.09 and 6,323.05

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Solution

The fourth proportional to 9,678.27, 13,351.09 and 6,323.05 is: 8,722.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.27 : 13,351.09 = 6,323.05 : x
  2. Step 2: Convert to fraction form
    9,678.27/13,351.09 = 6,323.05/x
  3. Step 3: Cross multiply
    9,678.27x = 13,351.09 × 6,323.05
  4. Step 4: Simplify right side
    9,678.27x = 84,419,511.25
  5. Step 5: Solve for x
    x = 84,419,511.25/9,678.27
  6. Step 6: Final answer
    x = 8,722.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.