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Finding the Fourth Proportional to 9,874.24, 14,804.37 and 4,940.33

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Solution

The fourth proportional to 9,874.24, 14,804.37 and 4,940.33 is: 7,406.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.24 : 14,804.37 = 4,940.33 : x
  2. Step 2: Convert to fraction form
    9,874.24/14,804.37 = 4,940.33/x
  3. Step 3: Cross multiply
    9,874.24x = 14,804.37 × 4,940.33
  4. Step 4: Simplify right side
    9,874.24x = 73,138,399.22
  5. Step 5: Solve for x
    x = 73,138,399.22/9,874.24
  6. Step 6: Final answer
    x = 7,406.99

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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.