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Finding the Fourth Proportional to 9,845.70, 14,764.11 and 2,824.11

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Solution

The fourth proportional to 9,845.70, 14,764.11 and 2,824.11 is: 4,234.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845.70 : 14,764.11 = 2,824.11 : x
  2. Step 2: Convert to fraction form
    9,845.70/14,764.11 = 2,824.11/x
  3. Step 3: Cross multiply
    9,845.70x = 14,764.11 × 2,824.11
  4. Step 4: Simplify right side
    9,845.70x = 41,695,470.69
  5. Step 5: Solve for x
    x = 41,695,470.69/9,845.70
  6. Step 6: Final answer
    x = 4,234.89

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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.