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Finding the Fourth Proportional to 9,285.25, 13,928.43 and 3,738.57

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Solution

The fourth proportional to 9,285.25, 13,928.43 and 3,738.57 is: 5,608.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,285.25 : 13,928.43 = 3,738.57 : x
  2. Step 2: Convert to fraction form
    9,285.25/13,928.43 = 3,738.57/x
  3. Step 3: Cross multiply
    9,285.25x = 13,928.43 × 3,738.57
  4. Step 4: Simplify right side
    9,285.25x = 52,072,410.55
  5. Step 5: Solve for x
    x = 52,072,410.55/9,285.25
  6. Step 6: Final answer
    x = 5,608.08

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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.