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Finding the Fourth Proportional to 6,431.85, 9,647.37 and 2,052.45

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Solution

The fourth proportional to 6,431.85, 9,647.37 and 2,052.45 is: 3,078.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,431.85 : 9,647.37 = 2,052.45 : x
  2. Step 2: Convert to fraction form
    6,431.85/9,647.37 = 2,052.45/x
  3. Step 3: Cross multiply
    6,431.85x = 9,647.37 × 2,052.45
  4. Step 4: Simplify right side
    6,431.85x = 19,800,744.56
  5. Step 5: Solve for x
    x = 19,800,744.56/6,431.85
  6. Step 6: Final answer
    x = 3,078.55

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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.