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Finding the Fourth Proportional to 6,994.37, 9,652.37 and 3,850.55

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Solution

The fourth proportional to 6,994.37, 9,652.37 and 3,850.55 is: 5,313.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,994.37 : 9,652.37 = 3,850.55 : x
  2. Step 2: Convert to fraction form
    6,994.37/9,652.37 = 3,850.55/x
  3. Step 3: Cross multiply
    6,994.37x = 9,652.37 × 3,850.55
  4. Step 4: Simplify right side
    6,994.37x = 37,166,865.79
  5. Step 5: Solve for x
    x = 37,166,865.79/6,994.37
  6. Step 6: Final answer
    x = 5,313.83

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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.