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Finding the Fourth Proportional to 9,383.96, 12,949.68 and 5,192.21

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Solution

The fourth proportional to 9,383.96, 12,949.68 and 5,192.21 is: 7,165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.96 : 12,949.68 = 5,192.21 : x
  2. Step 2: Convert to fraction form
    9,383.96/12,949.68 = 5,192.21/x
  3. Step 3: Cross multiply
    9,383.96x = 12,949.68 × 5,192.21
  4. Step 4: Simplify right side
    9,383.96x = 67,237,457.99
  5. Step 5: Solve for x
    x = 67,237,457.99/9,383.96
  6. Step 6: Final answer
    x = 7,165.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.