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Finding the Fourth Proportional to 9,348.97, 12,900.22 and 5,369.31

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Solution

The fourth proportional to 9,348.97, 12,900.22 and 5,369.31 is: 7,408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.97 : 12,900.22 = 5,369.31 : x
  2. Step 2: Convert to fraction form
    9,348.97/12,900.22 = 5,369.31/x
  3. Step 3: Cross multiply
    9,348.97x = 12,900.22 × 5,369.31
  4. Step 4: Simplify right side
    9,348.97x = 69,265,340.86
  5. Step 5: Solve for x
    x = 69,265,340.86/9,348.97
  6. Step 6: Final answer
    x = 7,408.87

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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.