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Finding the Fourth Proportional to 9,446.63, 13,036.34 and 5,467.96

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Solution

The fourth proportional to 9,446.63, 13,036.34 and 5,467.96 is: 7,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.63 : 13,036.34 = 5,467.96 : x
  2. Step 2: Convert to fraction form
    9,446.63/13,036.34 = 5,467.96/x
  3. Step 3: Cross multiply
    9,446.63x = 13,036.34 × 5,467.96
  4. Step 4: Simplify right side
    9,446.63x = 71,282,142.30
  5. Step 5: Solve for x
    x = 71,282,142.30/9,446.63
  6. Step 6: Final answer
    x = 7,545.78

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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.