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Finding the Fourth Proportional to 9,754.97, 14,633.66 and 3,178.91

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Solution

The fourth proportional to 9,754.97, 14,633.66 and 3,178.91 is: 4,768.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.97 : 14,633.66 = 3,178.91 : x
  2. Step 2: Convert to fraction form
    9,754.97/14,633.66 = 3,178.91/x
  3. Step 3: Cross multiply
    9,754.97x = 14,633.66 × 3,178.91
  4. Step 4: Simplify right side
    9,754.97x = 46,519,132.64
  5. Step 5: Solve for x
    x = 46,519,132.64/9,754.97
  6. Step 6: Final answer
    x = 4,768.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.