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Finding the Fourth Proportional to 8,419.89, 12,631.64 and 3,225.75

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Solution

The fourth proportional to 8,419.89, 12,631.64 and 3,225.75 is: 4,839.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.89 : 12,631.64 = 3,225.75 : x
  2. Step 2: Convert to fraction form
    8,419.89/12,631.64 = 3,225.75/x
  3. Step 3: Cross multiply
    8,419.89x = 12,631.64 × 3,225.75
  4. Step 4: Simplify right side
    8,419.89x = 40,746,496.60
  5. Step 5: Solve for x
    x = 40,746,496.60/8,419.89
  6. Step 6: Final answer
    x = 4,839.31

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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.