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Finding the Fourth Proportional to 9,467.74, 14,208.09 and 5,086.54

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Solution

The fourth proportional to 9,467.74, 14,208.09 and 5,086.54 is: 7,633.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.74 : 14,208.09 = 5,086.54 : x
  2. Step 2: Convert to fraction form
    9,467.74/14,208.09 = 5,086.54/x
  3. Step 3: Cross multiply
    9,467.74x = 14,208.09 × 5,086.54
  4. Step 4: Simplify right side
    9,467.74x = 72,270,018.11
  5. Step 5: Solve for x
    x = 72,270,018.11/9,467.74
  6. Step 6: Final answer
    x = 7,633.29

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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.