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Finding the Fourth Proportional to 9,467.37, 13,064.91 and 5,218.44

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Solution

The fourth proportional to 9,467.37, 13,064.91 and 5,218.44 is: 7,201.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.37 : 13,064.91 = 5,218.44 : x
  2. Step 2: Convert to fraction form
    9,467.37/13,064.91 = 5,218.44/x
  3. Step 3: Cross multiply
    9,467.37x = 13,064.91 × 5,218.44
  4. Step 4: Simplify right side
    9,467.37x = 68,178,448.94
  5. Step 5: Solve for x
    x = 68,178,448.94/9,467.37
  6. Step 6: Final answer
    x = 7,201.41

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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.