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Finding the Fourth Proportional to 9,227.56, 13,819.02 and 6,457

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Solution

The fourth proportional to 9,227.56, 13,819.02 and 6,457 is: 9,669.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.56 : 13,819.02 = 6,457 : x
  2. Step 2: Convert to fraction form
    9,227.56/13,819.02 = 6,457/x
  3. Step 3: Cross multiply
    9,227.56x = 13,819.02 × 6,457
  4. Step 4: Simplify right side
    9,227.56x = 89,229,412.14
  5. Step 5: Solve for x
    x = 89,229,412.14/9,227.56
  6. Step 6: Final answer
    x = 9,669.88

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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.