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Finding the Fourth Proportional to 5,976.40, 8,969.24 and 4,140.38

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Solution

The fourth proportional to 5,976.40, 8,969.24 and 4,140.38 is: 6,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.40 : 8,969.24 = 4,140.38 : x
  2. Step 2: Convert to fraction form
    5,976.40/8,969.24 = 4,140.38/x
  3. Step 3: Cross multiply
    5,976.40x = 8,969.24 × 4,140.38
  4. Step 4: Simplify right side
    5,976.40x = 37,136,061.91
  5. Step 5: Solve for x
    x = 37,136,061.91/5,976.40
  6. Step 6: Final answer
    x = 6,213.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.