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Finding the Fourth Proportional to 6,336.36, 9,502.11 and 4,382.64

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Solution

The fourth proportional to 6,336.36, 9,502.11 and 4,382.64 is: 6,572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,336.36 : 9,502.11 = 4,382.64 : x
  2. Step 2: Convert to fraction form
    6,336.36/9,502.11 = 4,382.64/x
  3. Step 3: Cross multiply
    6,336.36x = 9,502.11 × 4,382.64
  4. Step 4: Simplify right side
    6,336.36x = 41,644,327.37
  5. Step 5: Solve for x
    x = 41,644,327.37/6,336.36
  6. Step 6: Final answer
    x = 6,572.28

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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.