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Finding the Fourth Proportional to 6,462.36, 9,698.37 and 2,514.24

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Solution

The fourth proportional to 6,462.36, 9,698.37 and 2,514.24 is: 3,773.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,462.36 : 9,698.37 = 2,514.24 : x
  2. Step 2: Convert to fraction form
    6,462.36/9,698.37 = 2,514.24/x
  3. Step 3: Cross multiply
    6,462.36x = 9,698.37 × 2,514.24
  4. Step 4: Simplify right side
    6,462.36x = 24,384,029.79
  5. Step 5: Solve for x
    x = 24,384,029.79/6,462.36
  6. Step 6: Final answer
    x = 3,773.24

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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.