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Finding the Fourth Proportional to 9,707.85, 14,559.50 and 4,163.81

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Solution

The fourth proportional to 9,707.85, 14,559.50 and 4,163.81 is: 6,244.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,707.85 : 14,559.50 = 4,163.81 : x
  2. Step 2: Convert to fraction form
    9,707.85/14,559.50 = 4,163.81/x
  3. Step 3: Cross multiply
    9,707.85x = 14,559.50 × 4,163.81
  4. Step 4: Simplify right side
    9,707.85x = 60,622,898.08
  5. Step 5: Solve for x
    x = 60,622,898.08/9,707.85
  6. Step 6: Final answer
    x = 6,244.73

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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.