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Finding the Fourth Proportional to 6,745.26, 9,313.47 and 4,096.25

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Solution

The fourth proportional to 6,745.26, 9,313.47 and 4,096.25 is: 5,655.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.26 : 9,313.47 = 4,096.25 : x
  2. Step 2: Convert to fraction form
    6,745.26/9,313.47 = 4,096.25/x
  3. Step 3: Cross multiply
    6,745.26x = 9,313.47 × 4,096.25
  4. Step 4: Simplify right side
    6,745.26x = 38,150,254.92
  5. Step 5: Solve for x
    x = 38,150,254.92/6,745.26
  6. Step 6: Final answer
    x = 5,655.86

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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.