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Finding the Fourth Proportional to 6,354.37, 9,532.82 and 2,194.53

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Solution

The fourth proportional to 6,354.37, 9,532.82 and 2,194.53 is: 3,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.37 : 9,532.82 = 2,194.53 : x
  2. Step 2: Convert to fraction form
    6,354.37/9,532.82 = 2,194.53/x
  3. Step 3: Cross multiply
    6,354.37x = 9,532.82 × 2,194.53
  4. Step 4: Simplify right side
    6,354.37x = 20,920,011.81
  5. Step 5: Solve for x
    x = 20,920,011.81/6,354.37
  6. Step 6: Final answer
    x = 3,292.23

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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.