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Finding the Fourth Proportional to 6,322.59, 9,485 and 2,161.62

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Solution

The fourth proportional to 6,322.59, 9,485 and 2,161.62 is: 3,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.59 : 9,485 = 2,161.62 : x
  2. Step 2: Convert to fraction form
    6,322.59/9,485 = 2,161.62/x
  3. Step 3: Cross multiply
    6,322.59x = 9,485 × 2,161.62
  4. Step 4: Simplify right side
    6,322.59x = 20,502,965.70
  5. Step 5: Solve for x
    x = 20,502,965.70/6,322.59
  6. Step 6: Final answer
    x = 3,242.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.