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Finding the Fourth Proportional to 6,945.96, 9,571.50 and 5,896.20

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Solution

The fourth proportional to 6,945.96, 9,571.50 and 5,896.20 is: 8,124.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.96 : 9,571.50 = 5,896.20 : x
  2. Step 2: Convert to fraction form
    6,945.96/9,571.50 = 5,896.20/x
  3. Step 3: Cross multiply
    6,945.96x = 9,571.50 × 5,896.20
  4. Step 4: Simplify right side
    6,945.96x = 56,435,478.30
  5. Step 5: Solve for x
    x = 56,435,478.30/6,945.96
  6. Step 6: Final answer
    x = 8,124.94

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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.