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Finding the Fourth Proportional to 9,814.12, 13,539.02 and 5,832.97

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Solution

The fourth proportional to 9,814.12, 13,539.02 and 5,832.97 is: 8,046.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.12 : 13,539.02 = 5,832.97 : x
  2. Step 2: Convert to fraction form
    9,814.12/13,539.02 = 5,832.97/x
  3. Step 3: Cross multiply
    9,814.12x = 13,539.02 × 5,832.97
  4. Step 4: Simplify right side
    9,814.12x = 78,972,634.48
  5. Step 5: Solve for x
    x = 78,972,634.48/9,814.12
  6. Step 6: Final answer
    x = 8,046.84

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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.