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Finding the Fourth Proportional to 9,456.38, 13,049.24 and 5,477.22

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Solution

The fourth proportional to 9,456.38, 13,049.24 and 5,477.22 is: 7,558.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.38 : 13,049.24 = 5,477.22 : x
  2. Step 2: Convert to fraction form
    9,456.38/13,049.24 = 5,477.22/x
  3. Step 3: Cross multiply
    9,456.38x = 13,049.24 × 5,477.22
  4. Step 4: Simplify right side
    9,456.38x = 71,473,558.31
  5. Step 5: Solve for x
    x = 71,473,558.31/9,456.38
  6. Step 6: Final answer
    x = 7,558.24

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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.