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Finding the Fourth Proportional to 7,091.46, 9,785.62 and 4,180.55

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Solution

The fourth proportional to 7,091.46, 9,785.62 and 4,180.55 is: 5,768.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,091.46 : 9,785.62 = 4,180.55 : x
  2. Step 2: Convert to fraction form
    7,091.46/9,785.62 = 4,180.55/x
  3. Step 3: Cross multiply
    7,091.46x = 9,785.62 × 4,180.55
  4. Step 4: Simplify right side
    7,091.46x = 40,909,273.69
  5. Step 5: Solve for x
    x = 40,909,273.69/7,091.46
  6. Step 6: Final answer
    x = 5,768.81

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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.