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Finding the Fourth Proportional to 6,069.43, 8,375.87 and 3,416.32

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Solution

The fourth proportional to 6,069.43, 8,375.87 and 3,416.32 is: 4,714.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,069.43 : 8,375.87 = 3,416.32 : x
  2. Step 2: Convert to fraction form
    6,069.43/8,375.87 = 3,416.32/x
  3. Step 3: Cross multiply
    6,069.43x = 8,375.87 × 3,416.32
  4. Step 4: Simplify right side
    6,069.43x = 28,614,652.20
  5. Step 5: Solve for x
    x = 28,614,652.20/6,069.43
  6. Step 6: Final answer
    x = 4,714.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.