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Finding the Fourth Proportional to 6,993.99, 9,651.74 and 3,807.31

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Solution

The fourth proportional to 6,993.99, 9,651.74 and 3,807.31 is: 5,254.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,993.99 : 9,651.74 = 3,807.31 : x
  2. Step 2: Convert to fraction form
    6,993.99/9,651.74 = 3,807.31/x
  3. Step 3: Cross multiply
    6,993.99x = 9,651.74 × 3,807.31
  4. Step 4: Simplify right side
    6,993.99x = 36,747,166.22
  5. Step 5: Solve for x
    x = 36,747,166.22/6,993.99
  6. Step 6: Final answer
    x = 5,254.11

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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.