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Finding the Fourth Proportional to 9,471.72, 14,202.56 and 4,204.44

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Solution

The fourth proportional to 9,471.72, 14,202.56 and 4,204.44 is: 6,304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.72 : 14,202.56 = 4,204.44 : x
  2. Step 2: Convert to fraction form
    9,471.72/14,202.56 = 4,204.44/x
  3. Step 3: Cross multiply
    9,471.72x = 14,202.56 × 4,204.44
  4. Step 4: Simplify right side
    9,471.72x = 59,713,719.33
  5. Step 5: Solve for x
    x = 59,713,719.33/9,471.72
  6. Step 6: Final answer
    x = 6,304.43

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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.