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Finding the Fourth Proportional to 6,354.57, 9,537.71 and 3,236.83

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Solution

The fourth proportional to 6,354.57, 9,537.71 and 3,236.83 is: 4,858.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.57 : 9,537.71 = 3,236.83 : x
  2. Step 2: Convert to fraction form
    6,354.57/9,537.71 = 3,236.83/x
  3. Step 3: Cross multiply
    6,354.57x = 9,537.71 × 3,236.83
  4. Step 4: Simplify right side
    6,354.57x = 30,871,945.86
  5. Step 5: Solve for x
    x = 30,871,945.86/6,354.57
  6. Step 6: Final answer
    x = 4,858.23

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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.