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Finding the Fourth Proportional to 6,152.90, 9,234.06 and 3,193.77

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Solution

The fourth proportional to 6,152.90, 9,234.06 and 3,193.77 is: 4,793.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.90 : 9,234.06 = 3,193.77 : x
  2. Step 2: Convert to fraction form
    6,152.90/9,234.06 = 3,193.77/x
  3. Step 3: Cross multiply
    6,152.90x = 9,234.06 × 3,193.77
  4. Step 4: Simplify right side
    6,152.90x = 29,491,417.20
  5. Step 5: Solve for x
    x = 29,491,417.20/6,152.90
  6. Step 6: Final answer
    x = 4,793.09

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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.