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Finding the Fourth Proportional to 6,514.32, 9,768.44 and 3,226.13

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Solution

The fourth proportional to 6,514.32, 9,768.44 and 3,226.13 is: 4,837.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.32 : 9,768.44 = 3,226.13 : x
  2. Step 2: Convert to fraction form
    6,514.32/9,768.44 = 3,226.13/x
  3. Step 3: Cross multiply
    6,514.32x = 9,768.44 × 3,226.13
  4. Step 4: Simplify right side
    6,514.32x = 31,514,257.34
  5. Step 5: Solve for x
    x = 31,514,257.34/6,514.32
  6. Step 6: Final answer
    x = 4,837.69

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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.