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Finding the Fourth Proportional to 9,447.16, 14,172.28 and 3,207.56

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Solution

The fourth proportional to 9,447.16, 14,172.28 and 3,207.56 is: 4,811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.16 : 14,172.28 = 3,207.56 : x
  2. Step 2: Convert to fraction form
    9,447.16/14,172.28 = 3,207.56/x
  3. Step 3: Cross multiply
    9,447.16x = 14,172.28 × 3,207.56
  4. Step 4: Simplify right side
    9,447.16x = 45,458,438.44
  5. Step 5: Solve for x
    x = 45,458,438.44/9,447.16
  6. Step 6: Final answer
    x = 4,811.86

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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.