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Finding the Fourth Proportional to 9,201.14, 13,804.18 and 2,627.84

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Solution

The fourth proportional to 9,201.14, 13,804.18 and 2,627.84 is: 3,942.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.14 : 13,804.18 = 2,627.84 : x
  2. Step 2: Convert to fraction form
    9,201.14/13,804.18 = 2,627.84/x
  3. Step 3: Cross multiply
    9,201.14x = 13,804.18 × 2,627.84
  4. Step 4: Simplify right side
    9,201.14x = 36,275,176.37
  5. Step 5: Solve for x
    x = 36,275,176.37/9,201.14
  6. Step 6: Final answer
    x = 3,942.47

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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.