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Finding the Fourth Proportional to 6,943.77, 9,578.82 and 4,704.88

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Solution

The fourth proportional to 6,943.77, 9,578.82 and 4,704.88 is: 6,490.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,943.77 : 9,578.82 = 4,704.88 : x
  2. Step 2: Convert to fraction form
    6,943.77/9,578.82 = 4,704.88/x
  3. Step 3: Cross multiply
    6,943.77x = 9,578.82 × 4,704.88
  4. Step 4: Simplify right side
    6,943.77x = 45,067,198.64
  5. Step 5: Solve for x
    x = 45,067,198.64/6,943.77
  6. Step 6: Final answer
    x = 6,490.31

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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.