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Finding the Fourth Proportional to 6,012.99, 8,297.74 and 4,223.07

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Solution

The fourth proportional to 6,012.99, 8,297.74 and 4,223.07 is: 5,827.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.99 : 8,297.74 = 4,223.07 : x
  2. Step 2: Convert to fraction form
    6,012.99/8,297.74 = 4,223.07/x
  3. Step 3: Cross multiply
    6,012.99x = 8,297.74 × 4,223.07
  4. Step 4: Simplify right side
    6,012.99x = 35,041,973.26
  5. Step 5: Solve for x
    x = 35,041,973.26/6,012.99
  6. Step 6: Final answer
    x = 5,827.71

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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.