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Finding the Fourth Proportional to 6,767.77, 9,339.46 and 3,897.06

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Solution

The fourth proportional to 6,767.77, 9,339.46 and 3,897.06 is: 5,377.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.77 : 9,339.46 = 3,897.06 : x
  2. Step 2: Convert to fraction form
    6,767.77/9,339.46 = 3,897.06/x
  3. Step 3: Cross multiply
    6,767.77x = 9,339.46 × 3,897.06
  4. Step 4: Simplify right side
    6,767.77x = 36,396,435.99
  5. Step 5: Solve for x
    x = 36,396,435.99/6,767.77
  6. Step 6: Final answer
    x = 5,377.91

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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.