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Finding the Fourth Proportional to 9,496.41, 14,243.29 and 2,475.85

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Solution

The fourth proportional to 9,496.41, 14,243.29 and 2,475.85 is: 3,713.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,496.41 : 14,243.29 = 2,475.85 : x
  2. Step 2: Convert to fraction form
    9,496.41/14,243.29 = 2,475.85/x
  3. Step 3: Cross multiply
    9,496.41x = 14,243.29 × 2,475.85
  4. Step 4: Simplify right side
    9,496.41x = 35,264,249.55
  5. Step 5: Solve for x
    x = 35,264,249.55/9,496.41
  6. Step 6: Final answer
    x = 3,713.43

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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.