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Finding the Fourth Proportional to 9,446.09, 14,172.21 and 4,516.11

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Solution

The fourth proportional to 9,446.09, 14,172.21 and 4,516.11 is: 6,775.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.09 : 14,172.21 = 4,516.11 : x
  2. Step 2: Convert to fraction form
    9,446.09/14,172.21 = 4,516.11/x
  3. Step 3: Cross multiply
    9,446.09x = 14,172.21 × 4,516.11
  4. Step 4: Simplify right side
    9,446.09x = 64,003,259.30
  5. Step 5: Solve for x
    x = 64,003,259.30/9,446.09
  6. Step 6: Final answer
    x = 6,775.64

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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.