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Finding the Fourth Proportional to 9,084.99, 13,629.37 and 3,816.90

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Solution

The fourth proportional to 9,084.99, 13,629.37 and 3,816.90 is: 5,726.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.99 : 13,629.37 = 3,816.90 : x
  2. Step 2: Convert to fraction form
    9,084.99/13,629.37 = 3,816.90/x
  3. Step 3: Cross multiply
    9,084.99x = 13,629.37 × 3,816.90
  4. Step 4: Simplify right side
    9,084.99x = 52,021,923.27
  5. Step 5: Solve for x
    x = 52,021,923.27/9,084.99
  6. Step 6: Final answer
    x = 5,726.14

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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.