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Finding the Fourth Proportional to 9,532.43, 13,143.32 and 8,203.85

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Solution

The fourth proportional to 9,532.43, 13,143.32 and 8,203.85 is: 11,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.43 : 13,143.32 = 8,203.85 : x
  2. Step 2: Convert to fraction form
    9,532.43/13,143.32 = 8,203.85/x
  3. Step 3: Cross multiply
    9,532.43x = 13,143.32 × 8,203.85
  4. Step 4: Simplify right side
    9,532.43x = 107,825,784.76
  5. Step 5: Solve for x
    x = 107,825,784.76/9,532.43
  6. Step 6: Final answer
    x = 11,311.47

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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.