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Finding the Fourth Proportional to 6,537.06, 9,019.67 and 3,704.19

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Solution

The fourth proportional to 6,537.06, 9,019.67 and 3,704.19 is: 5,110.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.06 : 9,019.67 = 3,704.19 : x
  2. Step 2: Convert to fraction form
    6,537.06/9,019.67 = 3,704.19/x
  3. Step 3: Cross multiply
    6,537.06x = 9,019.67 × 3,704.19
  4. Step 4: Simplify right side
    6,537.06x = 33,410,526.32
  5. Step 5: Solve for x
    x = 33,410,526.32/6,537.06
  6. Step 6: Final answer
    x = 5,110.94

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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.