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Finding the Fourth Proportional to 6,171.06, 9,256.38 and 2,879.64

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Solution

The fourth proportional to 6,171.06, 9,256.38 and 2,879.64 is: 4,319.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,171.06 : 9,256.38 = 2,879.64 : x
  2. Step 2: Convert to fraction form
    6,171.06/9,256.38 = 2,879.64/x
  3. Step 3: Cross multiply
    6,171.06x = 9,256.38 × 2,879.64
  4. Step 4: Simplify right side
    6,171.06x = 26,655,042.10
  5. Step 5: Solve for x
    x = 26,655,042.10/6,171.06
  6. Step 6: Final answer
    x = 4,319.36

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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.