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Finding the Fourth Proportional to 6,165.90, 9,250.20 and 2,005.20

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Solution

The fourth proportional to 6,165.90, 9,250.20 and 2,005.20 is: 3,008.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.90 : 9,250.20 = 2,005.20 : x
  2. Step 2: Convert to fraction form
    6,165.90/9,250.20 = 2,005.20/x
  3. Step 3: Cross multiply
    6,165.90x = 9,250.20 × 2,005.20
  4. Step 4: Simplify right side
    6,165.90x = 18,548,501.04
  5. Step 5: Solve for x
    x = 18,548,501.04/6,165.90
  6. Step 6: Final answer
    x = 3,008.24

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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.