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Finding the Fourth Proportional to 9,400.50, 12,972.69 and 5,209.56

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Solution

The fourth proportional to 9,400.50, 12,972.69 and 5,209.56 is: 7,189.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.50 : 12,972.69 = 5,209.56 : x
  2. Step 2: Convert to fraction form
    9,400.50/12,972.69 = 5,209.56/x
  3. Step 3: Cross multiply
    9,400.50x = 12,972.69 × 5,209.56
  4. Step 4: Simplify right side
    9,400.50x = 67,582,006.92
  5. Step 5: Solve for x
    x = 67,582,006.92/9,400.50
  6. Step 6: Final answer
    x = 7,189.19

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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.