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Finding the Fourth Proportional to 6,096.78, 9,144.50 and 4,135.01

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Solution

The fourth proportional to 6,096.78, 9,144.50 and 4,135.01 is: 6,202.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.78 : 9,144.50 = 4,135.01 : x
  2. Step 2: Convert to fraction form
    6,096.78/9,144.50 = 4,135.01/x
  3. Step 3: Cross multiply
    6,096.78x = 9,144.50 × 4,135.01
  4. Step 4: Simplify right side
    6,096.78x = 37,812,607.24
  5. Step 5: Solve for x
    x = 37,812,607.24/6,096.78
  6. Step 6: Final answer
    x = 6,202.06

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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.