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Finding the Fourth Proportional to 6,616.87, 9,131.05 and 3,632.69

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Solution

The fourth proportional to 6,616.87, 9,131.05 and 3,632.69 is: 5,012.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.87 : 9,131.05 = 3,632.69 : x
  2. Step 2: Convert to fraction form
    6,616.87/9,131.05 = 3,632.69/x
  3. Step 3: Cross multiply
    6,616.87x = 9,131.05 × 3,632.69
  4. Step 4: Simplify right side
    6,616.87x = 33,170,274.02
  5. Step 5: Solve for x
    x = 33,170,274.02/6,616.87
  6. Step 6: Final answer
    x = 5,012.99

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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.