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Finding the Fourth Proportional to 9,171.31, 13,745.62 and 5,225.88

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Solution

The fourth proportional to 9,171.31, 13,745.62 and 5,225.88 is: 7,832.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.31 : 13,745.62 = 5,225.88 : x
  2. Step 2: Convert to fraction form
    9,171.31/13,745.62 = 5,225.88/x
  3. Step 3: Cross multiply
    9,171.31x = 13,745.62 × 5,225.88
  4. Step 4: Simplify right side
    9,171.31x = 71,832,960.65
  5. Step 5: Solve for x
    x = 71,832,960.65/9,171.31
  6. Step 6: Final answer
    x = 7,832.36

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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.