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Finding the Fourth Proportional to 9,792.87, 14,691.80 and 3,219.11

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Solution

The fourth proportional to 9,792.87, 14,691.80 and 3,219.11 is: 4,829.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.87 : 14,691.80 = 3,219.11 : x
  2. Step 2: Convert to fraction form
    9,792.87/14,691.80 = 3,219.11/x
  3. Step 3: Cross multiply
    9,792.87x = 14,691.80 × 3,219.11
  4. Step 4: Simplify right side
    9,792.87x = 47,294,520.30
  5. Step 5: Solve for x
    x = 47,294,520.30/9,792.87
  6. Step 6: Final answer
    x = 4,829.49

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Why These Related Problems?

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