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Finding the Fourth Proportional to 6,739.20, 9,279.36 and 6,354.72

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Solution

The fourth proportional to 6,739.20, 9,279.36 and 6,354.72 is: 8,749.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,739.20 : 9,279.36 = 6,354.72 : x
  2. Step 2: Convert to fraction form
    6,739.20/9,279.36 = 6,354.72/x
  3. Step 3: Cross multiply
    6,739.20x = 9,279.36 × 6,354.72
  4. Step 4: Simplify right side
    6,739.20x = 58,967,734.58
  5. Step 5: Solve for x
    x = 58,967,734.58/6,739.20
  6. Step 6: Final answer
    x = 8,749.96

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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.