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Finding the Fourth Proportional to 6,758.69, 9,326.89 and 3,774.57

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Solution

The fourth proportional to 6,758.69, 9,326.89 and 3,774.57 is: 5,208.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,758.69 : 9,326.89 = 3,774.57 : x
  2. Step 2: Convert to fraction form
    6,758.69/9,326.89 = 3,774.57/x
  3. Step 3: Cross multiply
    6,758.69x = 9,326.89 × 3,774.57
  4. Step 4: Simplify right side
    6,758.69x = 35,204,943.12
  5. Step 5: Solve for x
    x = 35,204,943.12/6,758.69
  6. Step 6: Final answer
    x = 5,208.84

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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.