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Finding the Fourth Proportional to 9,745.24, 14,618.22 and 9,239.80

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Solution

The fourth proportional to 9,745.24, 14,618.22 and 9,239.80 is: 13,860.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.24 : 14,618.22 = 9,239.80 : x
  2. Step 2: Convert to fraction form
    9,745.24/14,618.22 = 9,239.80/x
  3. Step 3: Cross multiply
    9,745.24x = 14,618.22 × 9,239.80
  4. Step 4: Simplify right side
    9,745.24x = 135,069,429.16
  5. Step 5: Solve for x
    x = 135,069,429.16/9,745.24
  6. Step 6: Final answer
    x = 13,860.04

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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.