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Finding the Fourth Proportional to 6,414.02, 8,853.53 and 3,760.46

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Solution

The fourth proportional to 6,414.02, 8,853.53 and 3,760.46 is: 5,190.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.02 : 8,853.53 = 3,760.46 : x
  2. Step 2: Convert to fraction form
    6,414.02/8,853.53 = 3,760.46/x
  3. Step 3: Cross multiply
    6,414.02x = 8,853.53 × 3,760.46
  4. Step 4: Simplify right side
    6,414.02x = 33,293,282.35
  5. Step 5: Solve for x
    x = 33,293,282.35/6,414.02
  6. Step 6: Final answer
    x = 5,190.71

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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.