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Finding the Fourth Proportional to 6,442.70, 9,665.52 and 2,060.14

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Solution

The fourth proportional to 6,442.70, 9,665.52 and 2,060.14 is: 3,090.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.70 : 9,665.52 = 2,060.14 : x
  2. Step 2: Convert to fraction form
    6,442.70/9,665.52 = 2,060.14/x
  3. Step 3: Cross multiply
    6,442.70x = 9,665.52 × 2,060.14
  4. Step 4: Simplify right side
    6,442.70x = 19,912,324.37
  5. Step 5: Solve for x
    x = 19,912,324.37/6,442.70
  6. Step 6: Final answer
    x = 3,090.68

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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.