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Finding the Fourth Proportional to 8,829.30, 13,229.28 and 6,226.86

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Solution

The fourth proportional to 8,829.30, 13,229.28 and 6,226.86 is: 9,329.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,829.30 : 13,229.28 = 6,226.86 : x
  2. Step 2: Convert to fraction form
    8,829.30/13,229.28 = 6,226.86/x
  3. Step 3: Cross multiply
    8,829.30x = 13,229.28 × 6,226.86
  4. Step 4: Simplify right side
    8,829.30x = 82,376,874.46
  5. Step 5: Solve for x
    x = 82,376,874.46/8,829.30
  6. Step 6: Final answer
    x = 9,329.94

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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.