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Finding the Fourth Proportional to 6,441.32, 9,662.31 and 2,058.44

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Solution

The fourth proportional to 6,441.32, 9,662.31 and 2,058.44 is: 3,087.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.32 : 9,662.31 = 2,058.44 : x
  2. Step 2: Convert to fraction form
    6,441.32/9,662.31 = 2,058.44/x
  3. Step 3: Cross multiply
    6,441.32x = 9,662.31 × 2,058.44
  4. Step 4: Simplify right side
    6,441.32x = 19,889,237.08
  5. Step 5: Solve for x
    x = 19,889,237.08/6,441.32
  6. Step 6: Final answer
    x = 3,087.76

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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.