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Finding the Fourth Proportional to 9,387, 14,081.46 and 3,231

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Solution

The fourth proportional to 9,387, 14,081.46 and 3,231 is: 4,846.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387 : 14,081.46 = 3,231 : x
  2. Step 2: Convert to fraction form
    9,387/14,081.46 = 3,231/x
  3. Step 3: Cross multiply
    9,387x = 14,081.46 × 3,231
  4. Step 4: Simplify right side
    9,387x = 45,497,197.26
  5. Step 5: Solve for x
    x = 45,497,197.26/9,387
  6. Step 6: Final answer
    x = 4,846.83

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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.