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Finding the Fourth Proportional to 9,446.52, 14,171.45 and 3,896.83

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Solution

The fourth proportional to 9,446.52, 14,171.45 and 3,896.83 is: 5,845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.52 : 14,171.45 = 3,896.83 : x
  2. Step 2: Convert to fraction form
    9,446.52/14,171.45 = 3,896.83/x
  3. Step 3: Cross multiply
    9,446.52x = 14,171.45 × 3,896.83
  4. Step 4: Simplify right side
    9,446.52x = 55,223,731.50
  5. Step 5: Solve for x
    x = 55,223,731.50/9,446.52
  6. Step 6: Final answer
    x = 5,845.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.