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Finding the Fourth Proportional to 6,911.34, 9,537.36 and 3,926.76

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Solution

The fourth proportional to 6,911.34, 9,537.36 and 3,926.76 is: 5,418.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.34 : 9,537.36 = 3,926.76 : x
  2. Step 2: Convert to fraction form
    6,911.34/9,537.36 = 3,926.76/x
  3. Step 3: Cross multiply
    6,911.34x = 9,537.36 × 3,926.76
  4. Step 4: Simplify right side
    6,911.34x = 37,450,923.75
  5. Step 5: Solve for x
    x = 37,450,923.75/6,911.34
  6. Step 6: Final answer
    x = 5,418.76

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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.