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Finding the Fourth Proportional to 6,786.77, 9,359.75 and 4,897.85

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Solution

The fourth proportional to 6,786.77, 9,359.75 and 4,897.85 is: 6,754.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.77 : 9,359.75 = 4,897.85 : x
  2. Step 2: Convert to fraction form
    6,786.77/9,359.75 = 4,897.85/x
  3. Step 3: Cross multiply
    6,786.77x = 9,359.75 × 4,897.85
  4. Step 4: Simplify right side
    6,786.77x = 45,842,616.98
  5. Step 5: Solve for x
    x = 45,842,616.98/6,786.77
  6. Step 6: Final answer
    x = 6,754.71

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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.