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Finding the Fourth Proportional to 9,593.54, 14,388.75 and 6,811.80

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Solution

The fourth proportional to 9,593.54, 14,388.75 and 6,811.80 is: 10,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,593.54 : 14,388.75 = 6,811.80 : x
  2. Step 2: Convert to fraction form
    9,593.54/14,388.75 = 6,811.80/x
  3. Step 3: Cross multiply
    9,593.54x = 14,388.75 × 6,811.80
  4. Step 4: Simplify right side
    9,593.54x = 98,013,287.25
  5. Step 5: Solve for x
    x = 98,013,287.25/9,593.54
  6. Step 6: Final answer
    x = 10,216.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.