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Finding the Fourth Proportional to 9,754.05, 13,462.71 and 6,166.73

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Solution

The fourth proportional to 9,754.05, 13,462.71 and 6,166.73 is: 8,511.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.05 : 13,462.71 = 6,166.73 : x
  2. Step 2: Convert to fraction form
    9,754.05/13,462.71 = 6,166.73/x
  3. Step 3: Cross multiply
    9,754.05x = 13,462.71 × 6,166.73
  4. Step 4: Simplify right side
    9,754.05x = 83,020,908.17
  5. Step 5: Solve for x
    x = 83,020,908.17/9,754.05
  6. Step 6: Final answer
    x = 8,511.43

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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.