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Finding the Fourth Proportional to 6,745.36, 9,307.73 and 3,912.13

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Solution

The fourth proportional to 6,745.36, 9,307.73 and 3,912.13 is: 5,398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.36 : 9,307.73 = 3,912.13 : x
  2. Step 2: Convert to fraction form
    6,745.36/9,307.73 = 3,912.13/x
  3. Step 3: Cross multiply
    6,745.36x = 9,307.73 × 3,912.13
  4. Step 4: Simplify right side
    6,745.36x = 36,413,030.20
  5. Step 5: Solve for x
    x = 36,413,030.20/6,745.36
  6. Step 6: Final answer
    x = 5,398.23

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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.