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Finding the Fourth Proportional to 9,145.44, 13,713.82 and 4,213.62

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Solution

The fourth proportional to 9,145.44, 13,713.82 and 4,213.62 is: 6,318.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.44 : 13,713.82 = 4,213.62 : x
  2. Step 2: Convert to fraction form
    9,145.44/13,713.82 = 4,213.62/x
  3. Step 3: Cross multiply
    9,145.44x = 13,713.82 × 4,213.62
  4. Step 4: Simplify right side
    9,145.44x = 57,784,826.23
  5. Step 5: Solve for x
    x = 57,784,826.23/9,145.44
  6. Step 6: Final answer
    x = 6,318.43

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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.