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Finding the Fourth Proportional to 9,228.31, 13,843.07 and 3,389.02

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Solution

The fourth proportional to 9,228.31, 13,843.07 and 3,389.02 is: 5,083.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.31 : 13,843.07 = 3,389.02 : x
  2. Step 2: Convert to fraction form
    9,228.31/13,843.07 = 3,389.02/x
  3. Step 3: Cross multiply
    9,228.31x = 13,843.07 × 3,389.02
  4. Step 4: Simplify right side
    9,228.31x = 46,914,354.93
  5. Step 5: Solve for x
    x = 46,914,354.93/9,228.31
  6. Step 6: Final answer
    x = 5,083.75

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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.