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Finding the Fourth Proportional to 6,022.14, 8,304.14 and 4,136.46

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Solution

The fourth proportional to 6,022.14, 8,304.14 and 4,136.46 is: 5,703.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022.14 : 8,304.14 = 4,136.46 : x
  2. Step 2: Convert to fraction form
    6,022.14/8,304.14 = 4,136.46/x
  3. Step 3: Cross multiply
    6,022.14x = 8,304.14 × 4,136.46
  4. Step 4: Simplify right side
    6,022.14x = 34,349,722.26
  5. Step 5: Solve for x
    x = 34,349,722.26/6,022.14
  6. Step 6: Final answer
    x = 5,703.91

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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.