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Finding the Fourth Proportional to 6,602.15, 9,896.57 and 4,138.70

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Solution

The fourth proportional to 6,602.15, 9,896.57 and 4,138.70 is: 6,203.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.15 : 9,896.57 = 4,138.70 : x
  2. Step 2: Convert to fraction form
    6,602.15/9,896.57 = 4,138.70/x
  3. Step 3: Cross multiply
    6,602.15x = 9,896.57 × 4,138.70
  4. Step 4: Simplify right side
    6,602.15x = 40,958,955.85
  5. Step 5: Solve for x
    x = 40,958,955.85/6,602.15
  6. Step 6: Final answer
    x = 6,203.88

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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.