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Finding the Fourth Proportional to 6,201.36, 9,292.81 and 3,428.82

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Solution

The fourth proportional to 6,201.36, 9,292.81 and 3,428.82 is: 5,138.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.36 : 9,292.81 = 3,428.82 : x
  2. Step 2: Convert to fraction form
    6,201.36/9,292.81 = 3,428.82/x
  3. Step 3: Cross multiply
    6,201.36x = 9,292.81 × 3,428.82
  4. Step 4: Simplify right side
    6,201.36x = 31,863,430.84
  5. Step 5: Solve for x
    x = 31,863,430.84/6,201.36
  6. Step 6: Final answer
    x = 5,138.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.