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Finding the Fourth Proportional to 9,897.75, 14,847.84 and 3,234.09

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Solution

The fourth proportional to 9,897.75, 14,847.84 and 3,234.09 is: 4,851.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897.75 : 14,847.84 = 3,234.09 : x
  2. Step 2: Convert to fraction form
    9,897.75/14,847.84 = 3,234.09/x
  3. Step 3: Cross multiply
    9,897.75x = 14,847.84 × 3,234.09
  4. Step 4: Simplify right side
    9,897.75x = 48,019,176.63
  5. Step 5: Solve for x
    x = 48,019,176.63/9,897.75
  6. Step 6: Final answer
    x = 4,851.53

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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.