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Finding the Fourth Proportional to 6,930.23, 9,562.75 and 3,945.92

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Solution

The fourth proportional to 6,930.23, 9,562.75 and 3,945.92 is: 5,444.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,930.23 : 9,562.75 = 3,945.92 : x
  2. Step 2: Convert to fraction form
    6,930.23/9,562.75 = 3,945.92/x
  3. Step 3: Cross multiply
    6,930.23x = 9,562.75 × 3,945.92
  4. Step 4: Simplify right side
    6,930.23x = 37,733,788.80
  5. Step 5: Solve for x
    x = 37,733,788.80/6,930.23
  6. Step 6: Final answer
    x = 5,444.81

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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.