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Finding the Fourth Proportional to 9,173.22, 12,659.49 and 5,194.50

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Solution

The fourth proportional to 9,173.22, 12,659.49 and 5,194.50 is: 7,168.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,173.22 : 12,659.49 = 5,194.50 : x
  2. Step 2: Convert to fraction form
    9,173.22/12,659.49 = 5,194.50/x
  3. Step 3: Cross multiply
    9,173.22x = 12,659.49 × 5,194.50
  4. Step 4: Simplify right side
    9,173.22x = 65,759,720.81
  5. Step 5: Solve for x
    x = 65,759,720.81/9,173.22
  6. Step 6: Final answer
    x = 7,168.66

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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.