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Finding the Fourth Proportional to 6,096.56, 9,142.94 and 2,200.46

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Solution

The fourth proportional to 6,096.56, 9,142.94 and 2,200.46 is: 3,300.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.56 : 9,142.94 = 2,200.46 : x
  2. Step 2: Convert to fraction form
    6,096.56/9,142.94 = 2,200.46/x
  3. Step 3: Cross multiply
    6,096.56x = 9,142.94 × 2,200.46
  4. Step 4: Simplify right side
    6,096.56x = 20,118,673.75
  5. Step 5: Solve for x
    x = 20,118,673.75/6,096.56
  6. Step 6: Final answer
    x = 3,300.00

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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.