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Finding the Fourth Proportional to 6,442.01, 9,662.41 and 2,058.70

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Solution

The fourth proportional to 6,442.01, 9,662.41 and 2,058.70 is: 3,087.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.01 : 9,662.41 = 2,058.70 : x
  2. Step 2: Convert to fraction form
    6,442.01/9,662.41 = 2,058.70/x
  3. Step 3: Cross multiply
    6,442.01x = 9,662.41 × 2,058.70
  4. Step 4: Simplify right side
    6,442.01x = 19,891,944.86
  5. Step 5: Solve for x
    x = 19,891,944.86/6,442.01
  6. Step 6: Final answer
    x = 3,087.85

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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.