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Finding the Fourth Proportional to 9,531.43, 13,141.93 and 8,202.85

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Solution

The fourth proportional to 9,531.43, 13,141.93 and 8,202.85 is: 11,310.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,531.43 : 13,141.93 = 8,202.85 : x
  2. Step 2: Convert to fraction form
    9,531.43/13,141.93 = 8,202.85/x
  3. Step 3: Cross multiply
    9,531.43x = 13,141.93 × 8,202.85
  4. Step 4: Simplify right side
    9,531.43x = 107,801,280.50
  5. Step 5: Solve for x
    x = 107,801,280.50/9,531.43
  6. Step 6: Final answer
    x = 11,310.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.