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Finding the Fourth Proportional to 9,940.26, 14,907.78 and 5,253.96

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Solution

The fourth proportional to 9,940.26, 14,907.78 and 5,253.96 is: 7,879.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.26 : 14,907.78 = 5,253.96 : x
  2. Step 2: Convert to fraction form
    9,940.26/14,907.78 = 5,253.96/x
  3. Step 3: Cross multiply
    9,940.26x = 14,907.78 × 5,253.96
  4. Step 4: Simplify right side
    9,940.26x = 78,324,879.81
  5. Step 5: Solve for x
    x = 78,324,879.81/9,940.26
  6. Step 6: Final answer
    x = 7,879.56

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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.