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Finding the Fourth Proportional to 9,324.27, 13,976.31 and 4,647.78

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Solution

The fourth proportional to 9,324.27, 13,976.31 and 4,647.78 is: 6,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.27 : 13,976.31 = 4,647.78 : x
  2. Step 2: Convert to fraction form
    9,324.27/13,976.31 = 4,647.78/x
  3. Step 3: Cross multiply
    9,324.27x = 13,976.31 × 4,647.78
  4. Step 4: Simplify right side
    9,324.27x = 64,958,814.09
  5. Step 5: Solve for x
    x = 64,958,814.09/9,324.27
  6. Step 6: Final answer
    x = 6,966.64

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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.