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Finding the Fourth Proportional to 9,146.83, 12,622.87 and 5,167.85

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Solution

The fourth proportional to 9,146.83, 12,622.87 and 5,167.85 is: 7,131.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.83 : 12,622.87 = 5,167.85 : x
  2. Step 2: Convert to fraction form
    9,146.83/12,622.87 = 5,167.85/x
  3. Step 3: Cross multiply
    9,146.83x = 12,622.87 × 5,167.85
  4. Step 4: Simplify right side
    9,146.83x = 65,233,126.69
  5. Step 5: Solve for x
    x = 65,233,126.69/9,146.83
  6. Step 6: Final answer
    x = 7,131.78

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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.