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Finding the Fourth Proportional to 9,862.75, 14,793.99 and 3,620.31

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Solution

The fourth proportional to 9,862.75, 14,793.99 and 3,620.31 is: 5,430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,862.75 : 14,793.99 = 3,620.31 : x
  2. Step 2: Convert to fraction form
    9,862.75/14,793.99 = 3,620.31/x
  3. Step 3: Cross multiply
    9,862.75x = 14,793.99 × 3,620.31
  4. Step 4: Simplify right side
    9,862.75x = 53,558,829.94
  5. Step 5: Solve for x
    x = 53,558,829.94/9,862.75
  6. Step 6: Final answer
    x = 5,430.42

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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.