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Finding the Fourth Proportional to 9,362.27, 14,039.52 and 3,811.84

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Solution

The fourth proportional to 9,362.27, 14,039.52 and 3,811.84 is: 5,716.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.27 : 14,039.52 = 3,811.84 : x
  2. Step 2: Convert to fraction form
    9,362.27/14,039.52 = 3,811.84/x
  3. Step 3: Cross multiply
    9,362.27x = 14,039.52 × 3,811.84
  4. Step 4: Simplify right side
    9,362.27x = 53,516,403.92
  5. Step 5: Solve for x
    x = 53,516,403.92/9,362.27
  6. Step 6: Final answer
    x = 5,716.18

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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.