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Finding the Fourth Proportional to 10,646.34, 14,691.73 and 6,169.97

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Solution

The fourth proportional to 10,646.34, 14,691.73 and 6,169.97 is: 8,514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,646.34 : 14,691.73 = 6,169.97 : x
  2. Step 2: Convert to fraction form
    10,646.34/14,691.73 = 6,169.97/x
  3. Step 3: Cross multiply
    10,646.34x = 14,691.73 × 6,169.97
  4. Step 4: Simplify right side
    10,646.34x = 90,647,566.22
  5. Step 5: Solve for x
    x = 90,647,566.22/10,646.34
  6. Step 6: Final answer
    x = 8,514.44

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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.