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Finding the Fourth Proportional to 9,512.20, 14,246.70 and 5,624.20

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Solution

The fourth proportional to 9,512.20, 14,246.70 and 5,624.20 is: 8,423.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.20 : 14,246.70 = 5,624.20 : x
  2. Step 2: Convert to fraction form
    9,512.20/14,246.70 = 5,624.20/x
  3. Step 3: Cross multiply
    9,512.20x = 14,246.70 × 5,624.20
  4. Step 4: Simplify right side
    9,512.20x = 80,126,290.14
  5. Step 5: Solve for x
    x = 80,126,290.14/9,512.20
  6. Step 6: Final answer
    x = 8,423.53

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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.