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Finding the Fourth Proportional to 9,096.56, 13,644.83 and 2,857.07

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Solution

The fourth proportional to 9,096.56, 13,644.83 and 2,857.07 is: 4,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.56 : 13,644.83 = 2,857.07 : x
  2. Step 2: Convert to fraction form
    9,096.56/13,644.83 = 2,857.07/x
  3. Step 3: Cross multiply
    9,096.56x = 13,644.83 × 2,857.07
  4. Step 4: Simplify right side
    9,096.56x = 38,984,151.94
  5. Step 5: Solve for x
    x = 38,984,151.94/9,096.56
  6. Step 6: Final answer
    x = 4,285.60

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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.