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Finding the Fourth Proportional to 9,243.75, 13,855.69 and 3,314.93

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Solution

The fourth proportional to 9,243.75, 13,855.69 and 3,314.93 is: 4,968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.75 : 13,855.69 = 3,314.93 : x
  2. Step 2: Convert to fraction form
    9,243.75/13,855.69 = 3,314.93/x
  3. Step 3: Cross multiply
    9,243.75x = 13,855.69 × 3,314.93
  4. Step 4: Simplify right side
    9,243.75x = 45,930,625.88
  5. Step 5: Solve for x
    x = 45,930,625.88/9,243.75
  6. Step 6: Final answer
    x = 4,968.83

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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.