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Finding the Fourth Proportional to 6,450.84, 8,905.14 and 4,212.81

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Solution

The fourth proportional to 6,450.84, 8,905.14 and 4,212.81 is: 5,815.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.84 : 8,905.14 = 4,212.81 : x
  2. Step 2: Convert to fraction form
    6,450.84/8,905.14 = 4,212.81/x
  3. Step 3: Cross multiply
    6,450.84x = 8,905.14 × 4,212.81
  4. Step 4: Simplify right side
    6,450.84x = 37,515,662.84
  5. Step 5: Solve for x
    x = 37,515,662.84/6,450.84
  6. Step 6: Final answer
    x = 5,815.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.