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Finding the Fourth Proportional to 8,419.85, 12,629.77 and 3,738.76

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Solution

The fourth proportional to 8,419.85, 12,629.77 and 3,738.76 is: 5,608.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.85 : 12,629.77 = 3,738.76 : x
  2. Step 2: Convert to fraction form
    8,419.85/12,629.77 = 3,738.76/x
  3. Step 3: Cross multiply
    8,419.85x = 12,629.77 × 3,738.76
  4. Step 4: Simplify right side
    8,419.85x = 47,219,597.04
  5. Step 5: Solve for x
    x = 47,219,597.04/8,419.85
  6. Step 6: Final answer
    x = 5,608.13

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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.