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Finding the Fourth Proportional to 6,601.79, 9,896.02 and 4,138.34

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Solution

The fourth proportional to 6,601.79, 9,896.02 and 4,138.34 is: 6,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.79 : 9,896.02 = 4,138.34 : x
  2. Step 2: Convert to fraction form
    6,601.79/9,896.02 = 4,138.34/x
  3. Step 3: Cross multiply
    6,601.79x = 9,896.02 × 4,138.34
  4. Step 4: Simplify right side
    6,601.79x = 40,953,095.41
  5. Step 5: Solve for x
    x = 40,953,095.41/6,601.79
  6. Step 6: Final answer
    x = 6,203.33

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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.