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Finding the Fourth Proportional to 9,299.21, 12,829.20 and 5,941.16

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Solution

The fourth proportional to 9,299.21, 12,829.20 and 5,941.16 is: 8,196.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,299.21 : 12,829.20 = 5,941.16 : x
  2. Step 2: Convert to fraction form
    9,299.21/12,829.20 = 5,941.16/x
  3. Step 3: Cross multiply
    9,299.21x = 12,829.20 × 5,941.16
  4. Step 4: Simplify right side
    9,299.21x = 76,220,265.73
  5. Step 5: Solve for x
    x = 76,220,265.73/9,299.21
  6. Step 6: Final answer
    x = 8,196.42

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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.