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Finding the Fourth Proportional to 9,238.27, 12,732.33 and 6,994.77

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Solution

The fourth proportional to 9,238.27, 12,732.33 and 6,994.77 is: 9,640.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.27 : 12,732.33 = 6,994.77 : x
  2. Step 2: Convert to fraction form
    9,238.27/12,732.33 = 6,994.77/x
  3. Step 3: Cross multiply
    9,238.27x = 12,732.33 × 6,994.77
  4. Step 4: Simplify right side
    9,238.27x = 89,059,719.91
  5. Step 5: Solve for x
    x = 89,059,719.91/9,238.27
  6. Step 6: Final answer
    x = 9,640.30

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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.