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Finding the Fourth Proportional to 9,620.52, 14,404.70 and 4,993.80

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Solution

The fourth proportional to 9,620.52, 14,404.70 and 4,993.80 is: 7,477.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.52 : 14,404.70 = 4,993.80 : x
  2. Step 2: Convert to fraction form
    9,620.52/14,404.70 = 4,993.80/x
  3. Step 3: Cross multiply
    9,620.52x = 14,404.70 × 4,993.80
  4. Step 4: Simplify right side
    9,620.52x = 71,934,190.86
  5. Step 5: Solve for x
    x = 71,934,190.86/9,620.52
  6. Step 6: Final answer
    x = 7,477.16

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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.