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Finding the Fourth Proportional to 9,765.54, 14,650.56 and 3,191.79

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Solution

The fourth proportional to 9,765.54, 14,650.56 and 3,191.79 is: 4,788.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.54 : 14,650.56 = 3,191.79 : x
  2. Step 2: Convert to fraction form
    9,765.54/14,650.56 = 3,191.79/x
  3. Step 3: Cross multiply
    9,765.54x = 14,650.56 × 3,191.79
  4. Step 4: Simplify right side
    9,765.54x = 46,761,510.90
  5. Step 5: Solve for x
    x = 46,761,510.90/9,765.54
  6. Step 6: Final answer
    x = 4,788.42

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