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Finding the Fourth Proportional to 9,401.68, 12,974.61 and 5,422.96

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Solution

The fourth proportional to 9,401.68, 12,974.61 and 5,422.96 is: 7,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.68 : 12,974.61 = 5,422.96 : x
  2. Step 2: Convert to fraction form
    9,401.68/12,974.61 = 5,422.96/x
  3. Step 3: Cross multiply
    9,401.68x = 12,974.61 × 5,422.96
  4. Step 4: Simplify right side
    9,401.68x = 70,360,791.05
  5. Step 5: Solve for x
    x = 70,360,791.05/9,401.68
  6. Step 6: Final answer
    x = 7,483.85

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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.