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Finding the Fourth Proportional to 9,401.57, 12,974.69 and 5,209.73

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Solution

The fourth proportional to 9,401.57, 12,974.69 and 5,209.73 is: 7,189.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.57 : 12,974.69 = 5,209.73 : x
  2. Step 2: Convert to fraction form
    9,401.57/12,974.69 = 5,209.73/x
  3. Step 3: Cross multiply
    9,401.57x = 12,974.69 × 5,209.73
  4. Step 4: Simplify right side
    9,401.57x = 67,594,631.73
  5. Step 5: Solve for x
    x = 67,594,631.73/9,401.57
  6. Step 6: Final answer
    x = 7,189.72

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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.