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Finding the Fourth Proportional to 6,745.48, 9,287.57 and 5,735.20

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Solution

The fourth proportional to 6,745.48, 9,287.57 and 5,735.20 is: 7,896.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.48 : 9,287.57 = 5,735.20 : x
  2. Step 2: Convert to fraction form
    6,745.48/9,287.57 = 5,735.20/x
  3. Step 3: Cross multiply
    6,745.48x = 9,287.57 × 5,735.20
  4. Step 4: Simplify right side
    6,745.48x = 53,266,071.46
  5. Step 5: Solve for x
    x = 53,266,071.46/6,745.48
  6. Step 6: Final answer
    x = 7,896.56

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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.