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Finding the Fourth Proportional to 6,122.48, 9,178.16 and 2,224.13

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Solution

The fourth proportional to 6,122.48, 9,178.16 and 2,224.13 is: 3,334.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.48 : 9,178.16 = 2,224.13 : x
  2. Step 2: Convert to fraction form
    6,122.48/9,178.16 = 2,224.13/x
  3. Step 3: Cross multiply
    6,122.48x = 9,178.16 × 2,224.13
  4. Step 4: Simplify right side
    6,122.48x = 20,413,363.99
  5. Step 5: Solve for x
    x = 20,413,363.99/6,122.48
  6. Step 6: Final answer
    x = 3,334.17

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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.