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Finding the Fourth Proportional to 9,279.82, 13,896.65 and 6,493.44

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Solution

The fourth proportional to 9,279.82, 13,896.65 and 6,493.44 is: 9,724.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,279.82 : 13,896.65 = 6,493.44 : x
  2. Step 2: Convert to fraction form
    9,279.82/13,896.65 = 6,493.44/x
  3. Step 3: Cross multiply
    9,279.82x = 13,896.65 × 6,493.44
  4. Step 4: Simplify right side
    9,279.82x = 90,237,079.21
  5. Step 5: Solve for x
    x = 90,237,079.21/9,279.82
  6. Step 6: Final answer
    x = 9,724.01

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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.