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Finding the Fourth Proportional to 6,501.06, 9,751.59 and 2,608.14

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Solution

The fourth proportional to 6,501.06, 9,751.59 and 2,608.14 is: 3,912.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.06 : 9,751.59 = 2,608.14 : x
  2. Step 2: Convert to fraction form
    6,501.06/9,751.59 = 2,608.14/x
  3. Step 3: Cross multiply
    6,501.06x = 9,751.59 × 2,608.14
  4. Step 4: Simplify right side
    6,501.06x = 25,433,511.94
  5. Step 5: Solve for x
    x = 25,433,511.94/6,501.06
  6. Step 6: Final answer
    x = 3,912.21

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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.