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Finding the Fourth Proportional to 6,096.49, 9,144.62 and 1,936.75

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Solution

The fourth proportional to 6,096.49, 9,144.62 and 1,936.75 is: 2,905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.49 : 9,144.62 = 1,936.75 : x
  2. Step 2: Convert to fraction form
    6,096.49/9,144.62 = 1,936.75/x
  3. Step 3: Cross multiply
    6,096.49x = 9,144.62 × 1,936.75
  4. Step 4: Simplify right side
    6,096.49x = 17,710,827.24
  5. Step 5: Solve for x
    x = 17,710,827.24/6,096.49
  6. Step 6: Final answer
    x = 2,905.09

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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.