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Finding the Fourth Proportional to 9,418.40, 12,998.16 and 5,228

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Solution

The fourth proportional to 9,418.40, 12,998.16 and 5,228 is: 7,215.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,418.40 : 12,998.16 = 5,228 : x
  2. Step 2: Convert to fraction form
    9,418.40/12,998.16 = 5,228/x
  3. Step 3: Cross multiply
    9,418.40x = 12,998.16 × 5,228
  4. Step 4: Simplify right side
    9,418.40x = 67,954,380.48
  5. Step 5: Solve for x
    x = 67,954,380.48/9,418.40
  6. Step 6: Final answer
    x = 7,215.07

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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.