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Finding the Fourth Proportional to 9,154.68, 12,628.82 and 5,791.83

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Solution

The fourth proportional to 9,154.68, 12,628.82 and 5,791.83 is: 7,989.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,154.68 : 12,628.82 = 5,791.83 : x
  2. Step 2: Convert to fraction form
    9,154.68/12,628.82 = 5,791.83/x
  3. Step 3: Cross multiply
    9,154.68x = 12,628.82 × 5,791.83
  4. Step 4: Simplify right side
    9,154.68x = 73,143,949.58
  5. Step 5: Solve for x
    x = 73,143,949.58/9,154.68
  6. Step 6: Final answer
    x = 7,989.79

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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.