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Finding the Fourth Proportional to 6,451.36, 9,660.62 and 4,253.42

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Solution

The fourth proportional to 6,451.36, 9,660.62 and 4,253.42 is: 6,369.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.36 : 9,660.62 = 4,253.42 : x
  2. Step 2: Convert to fraction form
    6,451.36/9,660.62 = 4,253.42/x
  3. Step 3: Cross multiply
    6,451.36x = 9,660.62 × 4,253.42
  4. Step 4: Simplify right side
    6,451.36x = 41,090,674.32
  5. Step 5: Solve for x
    x = 41,090,674.32/6,451.36
  6. Step 6: Final answer
    x = 6,369.30

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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.