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Finding the Fourth Proportional to 9,414.18, 12,991.41 and 5,222.34

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Solution

The fourth proportional to 9,414.18, 12,991.41 and 5,222.34 is: 7,206.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.18 : 12,991.41 = 5,222.34 : x
  2. Step 2: Convert to fraction form
    9,414.18/12,991.41 = 5,222.34/x
  3. Step 3: Cross multiply
    9,414.18x = 12,991.41 × 5,222.34
  4. Step 4: Simplify right side
    9,414.18x = 67,845,560.10
  5. Step 5: Solve for x
    x = 67,845,560.10/9,414.18
  6. Step 6: Final answer
    x = 7,206.74

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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.