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Finding the Fourth Proportional to 6,174.66, 9,255.35 and 2,666.32

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Solution

The fourth proportional to 6,174.66, 9,255.35 and 2,666.32 is: 3,996.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.66 : 9,255.35 = 2,666.32 : x
  2. Step 2: Convert to fraction form
    6,174.66/9,255.35 = 2,666.32/x
  3. Step 3: Cross multiply
    6,174.66x = 9,255.35 × 2,666.32
  4. Step 4: Simplify right side
    6,174.66x = 24,677,743.05
  5. Step 5: Solve for x
    x = 24,677,743.05/6,174.66
  6. Step 6: Final answer
    x = 3,996.61

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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.