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Finding the Fourth Proportional to 9,464.64, 13,057.36 and 6,279.44

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Solution

The fourth proportional to 9,464.64, 13,057.36 and 6,279.44 is: 8,663.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.64 : 13,057.36 = 6,279.44 : x
  2. Step 2: Convert to fraction form
    9,464.64/13,057.36 = 6,279.44/x
  3. Step 3: Cross multiply
    9,464.64x = 13,057.36 × 6,279.44
  4. Step 4: Simplify right side
    9,464.64x = 81,992,908.68
  5. Step 5: Solve for x
    x = 81,992,908.68/9,464.64
  6. Step 6: Final answer
    x = 8,663.08

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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.