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Finding the Fourth Proportional to 9,446.56, 14,172 and 4,517.44

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Solution

The fourth proportional to 9,446.56, 14,172 and 4,517.44 is: 6,777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.56 : 14,172 = 4,517.44 : x
  2. Step 2: Convert to fraction form
    9,446.56/14,172 = 4,517.44/x
  3. Step 3: Cross multiply
    9,446.56x = 14,172 × 4,517.44
  4. Step 4: Simplify right side
    9,446.56x = 64,021,159.68
  5. Step 5: Solve for x
    x = 64,021,159.68/9,446.56
  6. Step 6: Final answer
    x = 6,777.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.