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Finding the Fourth Proportional to 6,414.74, 8,852.02 and 3,725.54

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Solution

The fourth proportional to 6,414.74, 8,852.02 and 3,725.54 is: 5,141.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.74 : 8,852.02 = 3,725.54 : x
  2. Step 2: Convert to fraction form
    6,414.74/8,852.02 = 3,725.54/x
  3. Step 3: Cross multiply
    6,414.74x = 8,852.02 × 3,725.54
  4. Step 4: Simplify right side
    6,414.74x = 32,978,554.59
  5. Step 5: Solve for x
    x = 32,978,554.59/6,414.74
  6. Step 6: Final answer
    x = 5,141.06

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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.