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Finding the Fourth Proportional to 6,745.02, 9,309.34 and 3,914.22

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Solution

The fourth proportional to 6,745.02, 9,309.34 and 3,914.22 is: 5,402.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.02 : 9,309.34 = 3,914.22 : x
  2. Step 2: Convert to fraction form
    6,745.02/9,309.34 = 3,914.22/x
  3. Step 3: Cross multiply
    6,745.02x = 9,309.34 × 3,914.22
  4. Step 4: Simplify right side
    6,745.02x = 36,438,804.81
  5. Step 5: Solve for x
    x = 36,438,804.81/6,745.02
  6. Step 6: Final answer
    x = 5,402.33

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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.