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Finding the Fourth Proportional to 9,146.82, 12,623.31 and 5,168.37

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Solution

The fourth proportional to 9,146.82, 12,623.31 and 5,168.37 is: 7,132.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.82 : 12,623.31 = 5,168.37 : x
  2. Step 2: Convert to fraction form
    9,146.82/12,623.31 = 5,168.37/x
  3. Step 3: Cross multiply
    9,146.82x = 12,623.31 × 5,168.37
  4. Step 4: Simplify right side
    9,146.82x = 65,241,936.70
  5. Step 5: Solve for x
    x = 65,241,936.70/9,146.82
  6. Step 6: Final answer
    x = 7,132.75

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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.