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Finding the Fourth Proportional to 9,201.71, 13,792.97 and 4,267.28

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Solution

The fourth proportional to 9,201.71, 13,792.97 and 4,267.28 is: 6,396.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.71 : 13,792.97 = 4,267.28 : x
  2. Step 2: Convert to fraction form
    9,201.71/13,792.97 = 4,267.28/x
  3. Step 3: Cross multiply
    9,201.71x = 13,792.97 × 4,267.28
  4. Step 4: Simplify right side
    9,201.71x = 58,858,406.72
  5. Step 5: Solve for x
    x = 58,858,406.72/9,201.71
  6. Step 6: Final answer
    x = 6,396.47

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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.