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Finding the Fourth Proportional to 6,279.32, 9,414.43 and 3,157.08

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Solution

The fourth proportional to 6,279.32, 9,414.43 and 3,157.08 is: 4,733.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.32 : 9,414.43 = 3,157.08 : x
  2. Step 2: Convert to fraction form
    6,279.32/9,414.43 = 3,157.08/x
  3. Step 3: Cross multiply
    6,279.32x = 9,414.43 × 3,157.08
  4. Step 4: Simplify right side
    6,279.32x = 29,722,065.47
  5. Step 5: Solve for x
    x = 29,722,065.47/6,279.32
  6. Step 6: Final answer
    x = 4,733.32

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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.