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Finding the Fourth Proportional to 6,900.37, 10,342.44 and 3,194.77

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Solution

The fourth proportional to 6,900.37, 10,342.44 and 3,194.77 is: 4,788.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.37 : 10,342.44 = 3,194.77 : x
  2. Step 2: Convert to fraction form
    6,900.37/10,342.44 = 3,194.77/x
  3. Step 3: Cross multiply
    6,900.37x = 10,342.44 × 3,194.77
  4. Step 4: Simplify right side
    6,900.37x = 33,041,717.04
  5. Step 5: Solve for x
    x = 33,041,717.04/6,900.37
  6. Step 6: Final answer
    x = 4,788.40

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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.