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Finding the Fourth Proportional to 6,165.64, 9,247.29 and 2,005.66

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Solution

The fourth proportional to 6,165.64, 9,247.29 and 2,005.66 is: 3,008.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.64 : 9,247.29 = 2,005.66 : x
  2. Step 2: Convert to fraction form
    6,165.64/9,247.29 = 2,005.66/x
  3. Step 3: Cross multiply
    6,165.64x = 9,247.29 × 2,005.66
  4. Step 4: Simplify right side
    6,165.64x = 18,546,919.66
  5. Step 5: Solve for x
    x = 18,546,919.66/6,165.64
  6. Step 6: Final answer
    x = 3,008.11

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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.