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Finding the Fourth Proportional to 6,631.37, 9,149.87 and 3,835.25

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Solution

The fourth proportional to 6,631.37, 9,149.87 and 3,835.25 is: 5,291.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,631.37 : 9,149.87 = 3,835.25 : x
  2. Step 2: Convert to fraction form
    6,631.37/9,149.87 = 3,835.25/x
  3. Step 3: Cross multiply
    6,631.37x = 9,149.87 × 3,835.25
  4. Step 4: Simplify right side
    6,631.37x = 35,092,019.74
  5. Step 5: Solve for x
    x = 35,092,019.74/6,631.37
  6. Step 6: Final answer
    x = 5,291.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.