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Finding the Fourth Proportional to 9,163.72, 13,742.83 and 4,778.78

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Solution

The fourth proportional to 9,163.72, 13,742.83 and 4,778.78 is: 7,166.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.72 : 13,742.83 = 4,778.78 : x
  2. Step 2: Convert to fraction form
    9,163.72/13,742.83 = 4,778.78/x
  3. Step 3: Cross multiply
    9,163.72x = 13,742.83 × 4,778.78
  4. Step 4: Simplify right side
    9,163.72x = 65,673,975.71
  5. Step 5: Solve for x
    x = 65,673,975.71/9,163.72
  6. Step 6: Final answer
    x = 7,166.74

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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.