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Finding the Fourth Proportional to 38,593.75, 57,890.63 and 9,409.75

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Solution

The fourth proportional to 38,593.75, 57,890.63 and 9,409.75 is: 14,114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,593.75 : 57,890.63 = 9,409.75 : x
  2. Step 2: Convert to fraction form
    38,593.75/57,890.63 = 9,409.75/x
  3. Step 3: Cross multiply
    38,593.75x = 57,890.63 × 9,409.75
  4. Step 4: Simplify right side
    38,593.75x = 544,736,355.64
  5. Step 5: Solve for x
    x = 544,736,355.64/38,593.75
  6. Step 6: Final answer
    x = 14,114.63

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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.