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Finding the Fourth Proportional to 9,398.21, 14,096.84 and 3,850.16

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Solution

The fourth proportional to 9,398.21, 14,096.84 and 3,850.16 is: 5,775.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,398.21 : 14,096.84 = 3,850.16 : x
  2. Step 2: Convert to fraction form
    9,398.21/14,096.84 = 3,850.16/x
  3. Step 3: Cross multiply
    9,398.21x = 14,096.84 × 3,850.16
  4. Step 4: Simplify right side
    9,398.21x = 54,274,999.76
  5. Step 5: Solve for x
    x = 54,274,999.76/9,398.21
  6. Step 6: Final answer
    x = 5,775.04

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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.