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Finding the Fourth Proportional to 9,907.96, 14,861.86 and 2,512.42

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Solution

The fourth proportional to 9,907.96, 14,861.86 and 2,512.42 is: 3,768.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.96 : 14,861.86 = 2,512.42 : x
  2. Step 2: Convert to fraction form
    9,907.96/14,861.86 = 2,512.42/x
  3. Step 3: Cross multiply
    9,907.96x = 14,861.86 × 2,512.42
  4. Step 4: Simplify right side
    9,907.96x = 37,339,234.30
  5. Step 5: Solve for x
    x = 37,339,234.30/9,907.96
  6. Step 6: Final answer
    x = 3,768.61

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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.