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Finding the Fourth Proportional to 6,911.40, 9,537.62 and 3,767.56

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Solution

The fourth proportional to 6,911.40, 9,537.62 and 3,767.56 is: 5,199.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.40 : 9,537.62 = 3,767.56 : x
  2. Step 2: Convert to fraction form
    6,911.40/9,537.62 = 3,767.56/x
  3. Step 3: Cross multiply
    6,911.40x = 9,537.62 × 3,767.56
  4. Step 4: Simplify right side
    6,911.40x = 35,933,555.61
  5. Step 5: Solve for x
    x = 35,933,555.61/6,911.40
  6. Step 6: Final answer
    x = 5,199.17

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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.