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Finding the Fourth Proportional to 6,514.36, 9,776.40 and 5,231.32

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Solution

The fourth proportional to 6,514.36, 9,776.40 and 5,231.32 is: 7,850.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.36 : 9,776.40 = 5,231.32 : x
  2. Step 2: Convert to fraction form
    6,514.36/9,776.40 = 5,231.32/x
  3. Step 3: Cross multiply
    6,514.36x = 9,776.40 × 5,231.32
  4. Step 4: Simplify right side
    6,514.36x = 51,143,476.85
  5. Step 5: Solve for x
    x = 51,143,476.85/6,514.36
  6. Step 6: Final answer
    x = 7,850.88

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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.