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Finding the Fourth Proportional to 9,250.75, 13,873.51 and 3,009.43

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Solution

The fourth proportional to 9,250.75, 13,873.51 and 3,009.43 is: 4,513.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,250.75 : 13,873.51 = 3,009.43 : x
  2. Step 2: Convert to fraction form
    9,250.75/13,873.51 = 3,009.43/x
  3. Step 3: Cross multiply
    9,250.75x = 13,873.51 × 3,009.43
  4. Step 4: Simplify right side
    9,250.75x = 41,751,357.20
  5. Step 5: Solve for x
    x = 41,751,357.20/9,250.75
  6. Step 6: Final answer
    x = 4,513.29

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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.