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Finding the Fourth Proportional to 6,493.32, 8,953.74 and 4,132.44

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Solution

The fourth proportional to 6,493.32, 8,953.74 and 4,132.44 is: 5,698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.32 : 8,953.74 = 4,132.44 : x
  2. Step 2: Convert to fraction form
    6,493.32/8,953.74 = 4,132.44/x
  3. Step 3: Cross multiply
    6,493.32x = 8,953.74 × 4,132.44
  4. Step 4: Simplify right side
    6,493.32x = 37,000,793.33
  5. Step 5: Solve for x
    x = 37,000,793.33/6,493.32
  6. Step 6: Final answer
    x = 5,698.29

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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.