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Finding the Fourth Proportional to 6,945.34, 9,584.20 and 3,800.92

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Solution

The fourth proportional to 6,945.34, 9,584.20 and 3,800.92 is: 5,245.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.34 : 9,584.20 = 3,800.92 : x
  2. Step 2: Convert to fraction form
    6,945.34/9,584.20 = 3,800.92/x
  3. Step 3: Cross multiply
    6,945.34x = 9,584.20 × 3,800.92
  4. Step 4: Simplify right side
    6,945.34x = 36,428,777.46
  5. Step 5: Solve for x
    x = 36,428,777.46/6,945.34
  6. Step 6: Final answer
    x = 5,245.07

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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.