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Finding the Fourth Proportional to 9,446.65, 13,036.17 and 5,467.68

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Solution

The fourth proportional to 9,446.65, 13,036.17 and 5,467.68 is: 7,545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.65 : 13,036.17 = 5,467.68 : x
  2. Step 2: Convert to fraction form
    9,446.65/13,036.17 = 5,467.68/x
  3. Step 3: Cross multiply
    9,446.65x = 13,036.17 × 5,467.68
  4. Step 4: Simplify right side
    9,446.65x = 71,277,634.37
  5. Step 5: Solve for x
    x = 71,277,634.37/9,446.65
  6. Step 6: Final answer
    x = 7,545.28

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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.