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Finding the Fourth Proportional to 9,458.24, 13,053.99 and 5,481.80

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Solution

The fourth proportional to 9,458.24, 13,053.99 and 5,481.80 is: 7,565.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,458.24 : 13,053.99 = 5,481.80 : x
  2. Step 2: Convert to fraction form
    9,458.24/13,053.99 = 5,481.80/x
  3. Step 3: Cross multiply
    9,458.24x = 13,053.99 × 5,481.80
  4. Step 4: Simplify right side
    9,458.24x = 71,559,362.38
  5. Step 5: Solve for x
    x = 71,559,362.38/9,458.24
  6. Step 6: Final answer
    x = 7,565.82

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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.