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Finding the Fourth Proportional to 9,644.91, 13,310.22 and 5,395.83

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Solution

The fourth proportional to 9,644.91, 13,310.22 and 5,395.83 is: 7,446.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.91 : 13,310.22 = 5,395.83 : x
  2. Step 2: Convert to fraction form
    9,644.91/13,310.22 = 5,395.83/x
  3. Step 3: Cross multiply
    9,644.91x = 13,310.22 × 5,395.83
  4. Step 4: Simplify right side
    9,644.91x = 71,819,684.38
  5. Step 5: Solve for x
    x = 71,819,684.38/9,644.91
  6. Step 6: Final answer
    x = 7,446.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.