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Finding the Fourth Proportional to 9,791.48, 13,514.99 and 6,207.03

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Solution

The fourth proportional to 9,791.48, 13,514.99 and 6,207.03 is: 8,567.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.48 : 13,514.99 = 6,207.03 : x
  2. Step 2: Convert to fraction form
    9,791.48/13,514.99 = 6,207.03/x
  3. Step 3: Cross multiply
    9,791.48x = 13,514.99 × 6,207.03
  4. Step 4: Simplify right side
    9,791.48x = 83,887,917.34
  5. Step 5: Solve for x
    x = 83,887,917.34/9,791.48
  6. Step 6: Final answer
    x = 8,567.44

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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.