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Finding the Fourth Proportional to 9,765.42, 14,628.57 and 4,493.21

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Solution

The fourth proportional to 9,765.42, 14,628.57 and 4,493.21 is: 6,730.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,765.42 : 14,628.57 = 4,493.21 : x
  2. Step 2: Convert to fraction form
    9,765.42/14,628.57 = 4,493.21/x
  3. Step 3: Cross multiply
    9,765.42x = 14,628.57 × 4,493.21
  4. Step 4: Simplify right side
    9,765.42x = 65,729,163.87
  5. Step 5: Solve for x
    x = 65,729,163.87/9,765.42
  6. Step 6: Final answer
    x = 6,730.81

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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.