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Finding the Fourth Proportional to 9,201.67, 12,696.55 and 5,845.03

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Solution

The fourth proportional to 9,201.67, 12,696.55 and 5,845.03 is: 8,065.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.67 : 12,696.55 = 5,845.03 : x
  2. Step 2: Convert to fraction form
    9,201.67/12,696.55 = 5,845.03/x
  3. Step 3: Cross multiply
    9,201.67x = 12,696.55 × 5,845.03
  4. Step 4: Simplify right side
    9,201.67x = 74,211,715.65
  5. Step 5: Solve for x
    x = 74,211,715.65/9,201.67
  6. Step 6: Final answer
    x = 8,065.03

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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.