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Finding the Fourth Proportional to 6,745.28, 9,309.03 and 4,092.32

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Solution

The fourth proportional to 6,745.28, 9,309.03 and 4,092.32 is: 5,647.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.28 : 9,309.03 = 4,092.32 : x
  2. Step 2: Convert to fraction form
    6,745.28/9,309.03 = 4,092.32/x
  3. Step 3: Cross multiply
    6,745.28x = 9,309.03 × 4,092.32
  4. Step 4: Simplify right side
    6,745.28x = 38,095,537.58
  5. Step 5: Solve for x
    x = 38,095,537.58/6,745.28
  6. Step 6: Final answer
    x = 5,647.74

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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.