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Finding the Fourth Proportional to 6,329.32, 9,493.50 and 1,946.44

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Solution

The fourth proportional to 6,329.32, 9,493.50 and 1,946.44 is: 2,919.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.32 : 9,493.50 = 1,946.44 : x
  2. Step 2: Convert to fraction form
    6,329.32/9,493.50 = 1,946.44/x
  3. Step 3: Cross multiply
    6,329.32x = 9,493.50 × 1,946.44
  4. Step 4: Simplify right side
    6,329.32x = 18,478,528.14
  5. Step 5: Solve for x
    x = 18,478,528.14/6,329.32
  6. Step 6: Final answer
    x = 2,919.51

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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.