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Finding the Fourth Proportional to 9,193.05, 12,682.73 and 6,005.27

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Solution

The fourth proportional to 9,193.05, 12,682.73 and 6,005.27 is: 8,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.05 : 12,682.73 = 6,005.27 : x
  2. Step 2: Convert to fraction form
    9,193.05/12,682.73 = 6,005.27/x
  3. Step 3: Cross multiply
    9,193.05x = 12,682.73 × 6,005.27
  4. Step 4: Simplify right side
    9,193.05x = 76,163,124.55
  5. Step 5: Solve for x
    x = 76,163,124.55/9,193.05
  6. Step 6: Final answer
    x = 8,284.86

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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.