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Finding the Fourth Proportional to 9,201.34, 13,802.46 and 2,628.49

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Solution

The fourth proportional to 9,201.34, 13,802.46 and 2,628.49 is: 3,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.34 : 13,802.46 = 2,628.49 : x
  2. Step 2: Convert to fraction form
    9,201.34/13,802.46 = 2,628.49/x
  3. Step 3: Cross multiply
    9,201.34x = 13,802.46 × 2,628.49
  4. Step 4: Simplify right side
    9,201.34x = 36,279,628.09
  5. Step 5: Solve for x
    x = 36,279,628.09/9,201.34
  6. Step 6: Final answer
    x = 3,942.86

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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.