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Finding the Fourth Proportional to 6,910.93, 9,537.12 and 3,767.14

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Solution

The fourth proportional to 6,910.93, 9,537.12 and 3,767.14 is: 5,198.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,910.93 : 9,537.12 = 3,767.14 : x
  2. Step 2: Convert to fraction form
    6,910.93/9,537.12 = 3,767.14/x
  3. Step 3: Cross multiply
    6,910.93x = 9,537.12 × 3,767.14
  4. Step 4: Simplify right side
    6,910.93x = 35,927,666.24
  5. Step 5: Solve for x
    x = 35,927,666.24/6,910.93
  6. Step 6: Final answer
    x = 5,198.67

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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.