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Finding the Fourth Proportional to 8,414.34, 12,621.50 and 3,970.54

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Solution

The fourth proportional to 8,414.34, 12,621.50 and 3,970.54 is: 5,955.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,414.34 : 12,621.50 = 3,970.54 : x
  2. Step 2: Convert to fraction form
    8,414.34/12,621.50 = 3,970.54/x
  3. Step 3: Cross multiply
    8,414.34x = 12,621.50 × 3,970.54
  4. Step 4: Simplify right side
    8,414.34x = 50,114,168.26
  5. Step 5: Solve for x
    x = 50,114,168.26/8,414.34
  6. Step 6: Final answer
    x = 5,955.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.