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Finding the Fourth Proportional to 6,326.24, 9,486.16 and 3,694.64

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Solution

The fourth proportional to 6,326.24, 9,486.16 and 3,694.64 is: 5,540.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.24 : 9,486.16 = 3,694.64 : x
  2. Step 2: Convert to fraction form
    6,326.24/9,486.16 = 3,694.64/x
  3. Step 3: Cross multiply
    6,326.24x = 9,486.16 × 3,694.64
  4. Step 4: Simplify right side
    6,326.24x = 35,047,946.18
  5. Step 5: Solve for x
    x = 35,047,946.18/6,326.24
  6. Step 6: Final answer
    x = 5,540.09

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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.