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Finding the Fourth Proportional to 9,146.72, 12,622.38 and 5,167.82

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Solution

The fourth proportional to 9,146.72, 12,622.38 and 5,167.82 is: 7,131.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.72 : 12,622.38 = 5,167.82 : x
  2. Step 2: Convert to fraction form
    9,146.72/12,622.38 = 5,167.82/x
  3. Step 3: Cross multiply
    9,146.72x = 12,622.38 × 5,167.82
  4. Step 4: Simplify right side
    9,146.72x = 65,230,187.81
  5. Step 5: Solve for x
    x = 65,230,187.81/9,146.72
  6. Step 6: Final answer
    x = 7,131.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.