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Finding the Fourth Proportional to 9,057.92, 13,607.68 and 6,431.90

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Solution

The fourth proportional to 9,057.92, 13,607.68 and 6,431.90 is: 9,662.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,057.92 : 13,607.68 = 6,431.90 : x
  2. Step 2: Convert to fraction form
    9,057.92/13,607.68 = 6,431.90/x
  3. Step 3: Cross multiply
    9,057.92x = 13,607.68 × 6,431.90
  4. Step 4: Simplify right side
    9,057.92x = 87,523,236.99
  5. Step 5: Solve for x
    x = 87,523,236.99/9,057.92
  6. Step 6: Final answer
    x = 9,662.62

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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.