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Finding the Fourth Proportional to 6,442.44, 9,666.48 and 2,745.06

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Solution

The fourth proportional to 6,442.44, 9,666.48 and 2,745.06 is: 4,118.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.44 : 9,666.48 = 2,745.06 : x
  2. Step 2: Convert to fraction form
    6,442.44/9,666.48 = 2,745.06/x
  3. Step 3: Cross multiply
    6,442.44x = 9,666.48 × 2,745.06
  4. Step 4: Simplify right side
    6,442.44x = 26,535,067.59
  5. Step 5: Solve for x
    x = 26,535,067.59/6,442.44
  6. Step 6: Final answer
    x = 4,118.79

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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.