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Finding the Fourth Proportional to 6,889.77, 9,508.01 and 3,745.98

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Solution

The fourth proportional to 6,889.77, 9,508.01 and 3,745.98 is: 5,169.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.77 : 9,508.01 = 3,745.98 : x
  2. Step 2: Convert to fraction form
    6,889.77/9,508.01 = 3,745.98/x
  3. Step 3: Cross multiply
    6,889.77x = 9,508.01 × 3,745.98
  4. Step 4: Simplify right side
    6,889.77x = 35,616,796.57
  5. Step 5: Solve for x
    x = 35,616,796.57/6,889.77
  6. Step 6: Final answer
    x = 5,169.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.