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Finding the Fourth Proportional to 8,420.37, 12,627.82 and 3,977.35

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Solution

The fourth proportional to 8,420.37, 12,627.82 and 3,977.35 is: 5,964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.37 : 12,627.82 = 3,977.35 : x
  2. Step 2: Convert to fraction form
    8,420.37/12,627.82 = 3,977.35/x
  3. Step 3: Cross multiply
    8,420.37x = 12,627.82 × 3,977.35
  4. Step 4: Simplify right side
    8,420.37x = 50,225,176.85
  5. Step 5: Solve for x
    x = 50,225,176.85/8,420.37
  6. Step 6: Final answer
    x = 5,964.72

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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.