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Finding the Fourth Proportional to 6,442.15, 9,660.52 and 2,058.43

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Solution

The fourth proportional to 6,442.15, 9,660.52 and 2,058.43 is: 3,086.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.15 : 9,660.52 = 2,058.43 : x
  2. Step 2: Convert to fraction form
    6,442.15/9,660.52 = 2,058.43/x
  3. Step 3: Cross multiply
    6,442.15x = 9,660.52 × 2,058.43
  4. Step 4: Simplify right side
    6,442.15x = 19,885,504.18
  5. Step 5: Solve for x
    x = 19,885,504.18/6,442.15
  6. Step 6: Final answer
    x = 3,086.78

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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.