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Finding the Fourth Proportional to 9,842.24, 14,771.90 and 5,165.56

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Solution

The fourth proportional to 9,842.24, 14,771.90 and 5,165.56 is: 7,752.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.24 : 14,771.90 = 5,165.56 : x
  2. Step 2: Convert to fraction form
    9,842.24/14,771.90 = 5,165.56/x
  3. Step 3: Cross multiply
    9,842.24x = 14,771.90 × 5,165.56
  4. Step 4: Simplify right side
    9,842.24x = 76,305,082.69
  5. Step 5: Solve for x
    x = 76,305,082.69/9,842.24
  6. Step 6: Final answer
    x = 7,752.81

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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.