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Finding the Fourth Proportional to 9,174.12, 12,659.42 and 5,194.46

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Solution

The fourth proportional to 9,174.12, 12,659.42 and 5,194.46 is: 7,167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.12 : 12,659.42 = 5,194.46 : x
  2. Step 2: Convert to fraction form
    9,174.12/12,659.42 = 5,194.46/x
  3. Step 3: Cross multiply
    9,174.12x = 12,659.42 × 5,194.46
  4. Step 4: Simplify right side
    9,174.12x = 65,758,850.81
  5. Step 5: Solve for x
    x = 65,758,850.81/9,174.12
  6. Step 6: Final answer
    x = 7,167.86

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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.