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Finding the Fourth Proportional to 6,911.46, 9,537.81 and 3,767.64

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Solution

The fourth proportional to 6,911.46, 9,537.81 and 3,767.64 is: 5,199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.46 : 9,537.81 = 3,767.64 : x
  2. Step 2: Convert to fraction form
    6,911.46/9,537.81 = 3,767.64/x
  3. Step 3: Cross multiply
    6,911.46x = 9,537.81 × 3,767.64
  4. Step 4: Simplify right side
    6,911.46x = 35,935,034.47
  5. Step 5: Solve for x
    x = 35,935,034.47/6,911.46
  6. Step 6: Final answer
    x = 5,199.34

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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.