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Finding the Fourth Proportional to 9,356.24, 14,039.28 and 3,813.68

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Solution

The fourth proportional to 9,356.24, 14,039.28 and 3,813.68 is: 5,722.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.24 : 14,039.28 = 3,813.68 : x
  2. Step 2: Convert to fraction form
    9,356.24/14,039.28 = 3,813.68/x
  3. Step 3: Cross multiply
    9,356.24x = 14,039.28 × 3,813.68
  4. Step 4: Simplify right side
    9,356.24x = 53,541,321.35
  5. Step 5: Solve for x
    x = 53,541,321.35/9,356.24
  6. Step 6: Final answer
    x = 5,722.53

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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.