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Finding the Fourth Proportional to 9,208.65, 13,825.02 and 5,467.26

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Solution

The fourth proportional to 9,208.65, 13,825.02 and 5,467.26 is: 8,208.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.65 : 13,825.02 = 5,467.26 : x
  2. Step 2: Convert to fraction form
    9,208.65/13,825.02 = 5,467.26/x
  3. Step 3: Cross multiply
    9,208.65x = 13,825.02 × 5,467.26
  4. Step 4: Simplify right side
    9,208.65x = 75,584,978.85
  5. Step 5: Solve for x
    x = 75,584,978.85/9,208.65
  6. Step 6: Final answer
    x = 8,208.04

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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.