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Finding the Fourth Proportional to 6,414.96, 8,852.69 and 3,762.41

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Solution

The fourth proportional to 6,414.96, 8,852.69 and 3,762.41 is: 5,192.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.96 : 8,852.69 = 3,762.41 : x
  2. Step 2: Convert to fraction form
    6,414.96/8,852.69 = 3,762.41/x
  3. Step 3: Cross multiply
    6,414.96x = 8,852.69 × 3,762.41
  4. Step 4: Simplify right side
    6,414.96x = 33,307,452.70
  5. Step 5: Solve for x
    x = 33,307,452.70/6,414.96
  6. Step 6: Final answer
    x = 5,192.15

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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.