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Finding the Fourth Proportional to 9,538.86, 14,310.04 and 2,963.54

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Solution

The fourth proportional to 9,538.86, 14,310.04 and 2,963.54 is: 4,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.86 : 14,310.04 = 2,963.54 : x
  2. Step 2: Convert to fraction form
    9,538.86/14,310.04 = 2,963.54/x
  3. Step 3: Cross multiply
    9,538.86x = 14,310.04 × 2,963.54
  4. Step 4: Simplify right side
    9,538.86x = 42,408,375.94
  5. Step 5: Solve for x
    x = 42,408,375.94/9,538.86
  6. Step 6: Final answer
    x = 4,445.85

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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.