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Finding the Fourth Proportional to 6,235.26, 9,340.89 and 3,896.18

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Solution

The fourth proportional to 6,235.26, 9,340.89 and 3,896.18 is: 5,836.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.26 : 9,340.89 = 3,896.18 : x
  2. Step 2: Convert to fraction form
    6,235.26/9,340.89 = 3,896.18/x
  3. Step 3: Cross multiply
    6,235.26x = 9,340.89 × 3,896.18
  4. Step 4: Simplify right side
    6,235.26x = 36,393,762.51
  5. Step 5: Solve for x
    x = 36,393,762.51/6,235.26
  6. Step 6: Final answer
    x = 5,836.77

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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.