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Finding the Fourth Proportional to 9,649.93, 14,474.90 and 3,806.38

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Solution

The fourth proportional to 9,649.93, 14,474.90 and 3,806.38 is: 5,709.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,649.93 : 14,474.90 = 3,806.38 : x
  2. Step 2: Convert to fraction form
    9,649.93/14,474.90 = 3,806.38/x
  3. Step 3: Cross multiply
    9,649.93x = 14,474.90 × 3,806.38
  4. Step 4: Simplify right side
    9,649.93x = 55,096,969.86
  5. Step 5: Solve for x
    x = 55,096,969.86/9,649.93
  6. Step 6: Final answer
    x = 5,709.57

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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.