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Finding the Fourth Proportional to 6,602.34, 9,884.07 and 3,997.38

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Solution

The fourth proportional to 6,602.34, 9,884.07 and 3,997.38 is: 5,984.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602.34 : 9,884.07 = 3,997.38 : x
  2. Step 2: Convert to fraction form
    6,602.34/9,884.07 = 3,997.38/x
  3. Step 3: Cross multiply
    6,602.34x = 9,884.07 × 3,997.38
  4. Step 4: Simplify right side
    6,602.34x = 39,510,383.74
  5. Step 5: Solve for x
    x = 39,510,383.74/6,602.34
  6. Step 6: Final answer
    x = 5,984.30

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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.