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Finding the Fourth Proportional to 9,791.61, 13,514.48 and 6,254.20

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Solution

The fourth proportional to 9,791.61, 13,514.48 and 6,254.20 is: 8,632.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.61 : 13,514.48 = 6,254.20 : x
  2. Step 2: Convert to fraction form
    9,791.61/13,514.48 = 6,254.20/x
  3. Step 3: Cross multiply
    9,791.61x = 13,514.48 × 6,254.20
  4. Step 4: Simplify right side
    9,791.61x = 84,522,260.82
  5. Step 5: Solve for x
    x = 84,522,260.82/9,791.61
  6. Step 6: Final answer
    x = 8,632.11

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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.