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Finding the Fourth Proportional to 6,477, 9,699.09 and 4,004.33

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Solution

The fourth proportional to 6,477, 9,699.09 and 4,004.33 is: 5,996.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477 : 9,699.09 = 4,004.33 : x
  2. Step 2: Convert to fraction form
    6,477/9,699.09 = 4,004.33/x
  3. Step 3: Cross multiply
    6,477x = 9,699.09 × 4,004.33
  4. Step 4: Simplify right side
    6,477x = 38,838,308.56
  5. Step 5: Solve for x
    x = 38,838,308.56/6,477
  6. Step 6: Final answer
    x = 5,996.34

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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.