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Finding the Fourth Proportional to 6,767.06, 9,338.51 and 3,782.88

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Solution

The fourth proportional to 6,767.06, 9,338.51 and 3,782.88 is: 5,220.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.06 : 9,338.51 = 3,782.88 : x
  2. Step 2: Convert to fraction form
    6,767.06/9,338.51 = 3,782.88/x
  3. Step 3: Cross multiply
    6,767.06x = 9,338.51 × 3,782.88
  4. Step 4: Simplify right side
    6,767.06x = 35,326,443.79
  5. Step 5: Solve for x
    x = 35,326,443.79/6,767.06
  6. Step 6: Final answer
    x = 5,220.36

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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.