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Finding the Fourth Proportional to 7,091.22, 9,785.92 and 4,066.45

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Solution

The fourth proportional to 7,091.22, 9,785.92 and 4,066.45 is: 5,611.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.22 : 9,785.92 = 4,066.45 : x
  2. Step 2: Convert to fraction form
    7,091.22/9,785.92 = 4,066.45/x
  3. Step 3: Cross multiply
    7,091.22x = 9,785.92 × 4,066.45
  4. Step 4: Simplify right side
    7,091.22x = 39,793,995.23
  5. Step 5: Solve for x
    x = 39,793,995.23/7,091.22
  6. Step 6: Final answer
    x = 5,611.73

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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.