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Finding the Fourth Proportional to 9,693.67, 14,542.12 and 3,850.33

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Solution

The fourth proportional to 9,693.67, 14,542.12 and 3,850.33 is: 5,776.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,693.67 : 14,542.12 = 3,850.33 : x
  2. Step 2: Convert to fraction form
    9,693.67/14,542.12 = 3,850.33/x
  3. Step 3: Cross multiply
    9,693.67x = 14,542.12 × 3,850.33
  4. Step 4: Simplify right side
    9,693.67x = 55,991,888.19
  5. Step 5: Solve for x
    x = 55,991,888.19/9,693.67
  6. Step 6: Final answer
    x = 5,776.13

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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.