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Finding the Fourth Proportional to 9,162.88, 13,743.54 and 2,922.64

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Solution

The fourth proportional to 9,162.88, 13,743.54 and 2,922.64 is: 4,383.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.88 : 13,743.54 = 2,922.64 : x
  2. Step 2: Convert to fraction form
    9,162.88/13,743.54 = 2,922.64/x
  3. Step 3: Cross multiply
    9,162.88x = 13,743.54 × 2,922.64
  4. Step 4: Simplify right side
    9,162.88x = 40,167,419.75
  5. Step 5: Solve for x
    x = 40,167,419.75/9,162.88
  6. Step 6: Final answer
    x = 4,383.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.