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Finding the Fourth Proportional to 6,767.58, 9,338.88 and 3,782.82

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Solution

The fourth proportional to 6,767.58, 9,338.88 and 3,782.82 is: 5,220.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.58 : 9,338.88 = 3,782.82 : x
  2. Step 2: Convert to fraction form
    6,767.58/9,338.88 = 3,782.82/x
  3. Step 3: Cross multiply
    6,767.58x = 9,338.88 × 3,782.82
  4. Step 4: Simplify right side
    6,767.58x = 35,327,302.04
  5. Step 5: Solve for x
    x = 35,327,302.04/6,767.58
  6. Step 6: Final answer
    x = 5,220.08

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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.