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Finding the Fourth Proportional to 9,467.98, 14,181.28 and 7,805.86

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Solution

The fourth proportional to 9,467.98, 14,181.28 and 7,805.86 is: 11,691.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.98 : 14,181.28 = 7,805.86 : x
  2. Step 2: Convert to fraction form
    9,467.98/14,181.28 = 7,805.86/x
  3. Step 3: Cross multiply
    9,467.98x = 14,181.28 × 7,805.86
  4. Step 4: Simplify right side
    9,467.98x = 110,697,086.30
  5. Step 5: Solve for x
    x = 110,697,086.30/9,467.98
  6. Step 6: Final answer
    x = 11,691.73

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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.