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Finding the Fourth Proportional to 8,419.60, 12,601.32 and 6,334.56

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Solution

The fourth proportional to 8,419.60, 12,601.32 and 6,334.56 is: 9,480.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.60 : 12,601.32 = 6,334.56 : x
  2. Step 2: Convert to fraction form
    8,419.60/12,601.32 = 6,334.56/x
  3. Step 3: Cross multiply
    8,419.60x = 12,601.32 × 6,334.56
  4. Step 4: Simplify right side
    8,419.60x = 79,823,817.62
  5. Step 5: Solve for x
    x = 79,823,817.62/8,419.60
  6. Step 6: Final answer
    x = 9,480.71

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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.