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Finding the Fourth Proportional to 9,676.27, 14,514.39 and 6,388.59

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Solution

The fourth proportional to 9,676.27, 14,514.39 and 6,388.59 is: 9,582.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.27 : 14,514.39 = 6,388.59 : x
  2. Step 2: Convert to fraction form
    9,676.27/14,514.39 = 6,388.59/x
  3. Step 3: Cross multiply
    9,676.27x = 14,514.39 × 6,388.59
  4. Step 4: Simplify right side
    9,676.27x = 92,726,541.24
  5. Step 5: Solve for x
    x = 92,726,541.24/9,676.27
  6. Step 6: Final answer
    x = 9,582.88

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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.