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Finding the Fourth Proportional to 9,131.96, 13,689.43 and 4,205.54

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Solution

The fourth proportional to 9,131.96, 13,689.43 and 4,205.54 is: 6,304.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.96 : 13,689.43 = 4,205.54 : x
  2. Step 2: Convert to fraction form
    9,131.96/13,689.43 = 4,205.54/x
  3. Step 3: Cross multiply
    9,131.96x = 13,689.43 × 4,205.54
  4. Step 4: Simplify right side
    9,131.96x = 57,571,469.15
  5. Step 5: Solve for x
    x = 57,571,469.15/9,131.96
  6. Step 6: Final answer
    x = 6,304.39

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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.