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Finding the Fourth Proportional to 9,474.20, 14,217.70 and 5,314.20

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Solution

The fourth proportional to 9,474.20, 14,217.70 and 5,314.20 is: 7,974.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,474.20 : 14,217.70 = 5,314.20 : x
  2. Step 2: Convert to fraction form
    9,474.20/14,217.70 = 5,314.20/x
  3. Step 3: Cross multiply
    9,474.20x = 14,217.70 × 5,314.20
  4. Step 4: Simplify right side
    9,474.20x = 75,555,701.34
  5. Step 5: Solve for x
    x = 75,555,701.34/9,474.20
  6. Step 6: Final answer
    x = 7,974.89

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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.