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Finding the Fourth Proportional to 6,911.46, 9,537.66 and 3,767.76

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Solution

The fourth proportional to 6,911.46, 9,537.66 and 3,767.76 is: 5,199.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.46 : 9,537.66 = 3,767.76 : x
  2. Step 2: Convert to fraction form
    6,911.46/9,537.66 = 3,767.76/x
  3. Step 3: Cross multiply
    6,911.46x = 9,537.66 × 3,767.76
  4. Step 4: Simplify right side
    6,911.46x = 35,935,613.84
  5. Step 5: Solve for x
    x = 35,935,613.84/6,911.46
  6. Step 6: Final answer
    x = 5,199.42

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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.