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Finding the Fourth Proportional to 9,257.67, 13,887.36 and 3,017.43

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Solution

The fourth proportional to 9,257.67, 13,887.36 and 3,017.43 is: 4,526.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.67 : 13,887.36 = 3,017.43 : x
  2. Step 2: Convert to fraction form
    9,257.67/13,887.36 = 3,017.43/x
  3. Step 3: Cross multiply
    9,257.67x = 13,887.36 × 3,017.43
  4. Step 4: Simplify right side
    9,257.67x = 41,904,136.68
  5. Step 5: Solve for x
    x = 41,904,136.68/9,257.67
  6. Step 6: Final answer
    x = 4,526.42

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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.