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Finding the Fourth Proportional to 6,232.41, 9,348.69 and 3,633.51

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Solution

The fourth proportional to 6,232.41, 9,348.69 and 3,633.51 is: 5,450.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.41 : 9,348.69 = 3,633.51 : x
  2. Step 2: Convert to fraction form
    6,232.41/9,348.69 = 3,633.51/x
  3. Step 3: Cross multiply
    6,232.41x = 9,348.69 × 3,633.51
  4. Step 4: Simplify right side
    6,232.41x = 33,968,558.60
  5. Step 5: Solve for x
    x = 33,968,558.60/6,232.41
  6. Step 6: Final answer
    x = 5,450.31

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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.