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Finding the Fourth Proportional to 6,751.42, 9,316.91 and 3,767.06

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Solution

The fourth proportional to 6,751.42, 9,316.91 and 3,767.06 is: 5,198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.42 : 9,316.91 = 3,767.06 : x
  2. Step 2: Convert to fraction form
    6,751.42/9,316.91 = 3,767.06/x
  3. Step 3: Cross multiply
    6,751.42x = 9,316.91 × 3,767.06
  4. Step 4: Simplify right side
    6,751.42x = 35,097,391.69
  5. Step 5: Solve for x
    x = 35,097,391.69/6,751.42
  6. Step 6: Final answer
    x = 5,198.52

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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.