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Finding the Fourth Proportional to 9,232.47, 13,850.69 and 2,993.09

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Solution

The fourth proportional to 9,232.47, 13,850.69 and 2,993.09 is: 4,490.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.47 : 13,850.69 = 2,993.09 : x
  2. Step 2: Convert to fraction form
    9,232.47/13,850.69 = 2,993.09/x
  3. Step 3: Cross multiply
    9,232.47x = 13,850.69 × 2,993.09
  4. Step 4: Simplify right side
    9,232.47x = 41,456,277.51
  5. Step 5: Solve for x
    x = 41,456,277.51/9,232.47
  6. Step 6: Final answer
    x = 4,490.27

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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.