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Finding the Fourth Proportional to 6,164.34, 9,246.42 and 2,004.54

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Solution

The fourth proportional to 6,164.34, 9,246.42 and 2,004.54 is: 3,006.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.34 : 9,246.42 = 2,004.54 : x
  2. Step 2: Convert to fraction form
    6,164.34/9,246.42 = 2,004.54/x
  3. Step 3: Cross multiply
    6,164.34x = 9,246.42 × 2,004.54
  4. Step 4: Simplify right side
    6,164.34x = 18,534,818.75
  5. Step 5: Solve for x
    x = 18,534,818.75/6,164.34
  6. Step 6: Final answer
    x = 3,006.78

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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.