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Finding the Fourth Proportional to 6,004.64, 9,006.96 and 2,108.14

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Solution

The fourth proportional to 6,004.64, 9,006.96 and 2,108.14 is: 3,162.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004.64 : 9,006.96 = 2,108.14 : x
  2. Step 2: Convert to fraction form
    6,004.64/9,006.96 = 2,108.14/x
  3. Step 3: Cross multiply
    6,004.64x = 9,006.96 × 2,108.14
  4. Step 4: Simplify right side
    6,004.64x = 18,987,932.65
  5. Step 5: Solve for x
    x = 18,987,932.65/6,004.64
  6. Step 6: Final answer
    x = 3,162.21

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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.