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Finding the Fourth Proportional to 6,723.66, 9,279.48 and 4,071.06

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Solution

The fourth proportional to 6,723.66, 9,279.48 and 4,071.06 is: 5,618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,723.66 : 9,279.48 = 4,071.06 : x
  2. Step 2: Convert to fraction form
    6,723.66/9,279.48 = 4,071.06/x
  3. Step 3: Cross multiply
    6,723.66x = 9,279.48 × 4,071.06
  4. Step 4: Simplify right side
    6,723.66x = 37,777,319.85
  5. Step 5: Solve for x
    x = 37,777,319.85/6,723.66
  6. Step 6: Final answer
    x = 5,618.56

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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.