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Finding the Fourth Proportional to 9,840.25, 14,768.92 and 5,163.58

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Solution

The fourth proportional to 9,840.25, 14,768.92 and 5,163.58 is: 7,749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.25 : 14,768.92 = 5,163.58 : x
  2. Step 2: Convert to fraction form
    9,840.25/14,768.92 = 5,163.58/x
  3. Step 3: Cross multiply
    9,840.25x = 14,768.92 × 5,163.58
  4. Step 4: Simplify right side
    9,840.25x = 76,260,499.93
  5. Step 5: Solve for x
    x = 76,260,499.93/9,840.25
  6. Step 6: Final answer
    x = 7,749.85

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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.