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Finding the Fourth Proportional to 9,005.31, 13,493.39 and 6,818.31

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Solution

The fourth proportional to 9,005.31, 13,493.39 and 6,818.31 is: 10,216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.31 : 13,493.39 = 6,818.31 : x
  2. Step 2: Convert to fraction form
    9,005.31/13,493.39 = 6,818.31/x
  3. Step 3: Cross multiply
    9,005.31x = 13,493.39 × 6,818.31
  4. Step 4: Simplify right side
    9,005.31x = 92,002,081.88
  5. Step 5: Solve for x
    x = 92,002,081.88/9,005.31
  6. Step 6: Final answer
    x = 10,216.43

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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.