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Finding the Fourth Proportional to 9,765.60, 14,650.22 and 3,192.14

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Solution

The fourth proportional to 9,765.60, 14,650.22 and 3,192.14 is: 4,788.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.60 : 14,650.22 = 3,192.14 : x
  2. Step 2: Convert to fraction form
    9,765.60/14,650.22 = 3,192.14/x
  3. Step 3: Cross multiply
    9,765.60x = 14,650.22 × 3,192.14
  4. Step 4: Simplify right side
    9,765.60x = 46,765,579.92
  5. Step 5: Solve for x
    x = 46,765,579.92/9,765.60
  6. Step 6: Final answer
    x = 4,788.81

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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.