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Finding the Fourth Proportional to 9,474.58, 14,212.29 and 3,630.76

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Solution

The fourth proportional to 9,474.58, 14,212.29 and 3,630.76 is: 5,446.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.58 : 14,212.29 = 3,630.76 : x
  2. Step 2: Convert to fraction form
    9,474.58/14,212.29 = 3,630.76/x
  3. Step 3: Cross multiply
    9,474.58x = 14,212.29 × 3,630.76
  4. Step 4: Simplify right side
    9,474.58x = 51,601,414.04
  5. Step 5: Solve for x
    x = 51,601,414.04/9,474.58
  6. Step 6: Final answer
    x = 5,446.30

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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.