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Finding the Fourth Proportional to 6,369.99, 9,546.08 and 5,428.02

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Solution

The fourth proportional to 6,369.99, 9,546.08 and 5,428.02 is: 8,134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,369.99 : 9,546.08 = 5,428.02 : x
  2. Step 2: Convert to fraction form
    6,369.99/9,546.08 = 5,428.02/x
  3. Step 3: Cross multiply
    6,369.99x = 9,546.08 × 5,428.02
  4. Step 4: Simplify right side
    6,369.99x = 51,816,313.16
  5. Step 5: Solve for x
    x = 51,816,313.16/6,369.99
  6. Step 6: Final answer
    x = 8,134.44

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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.