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Finding the Fourth Proportional to 9,223.84, 13,841.16 and 3,380.86

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Solution

The fourth proportional to 9,223.84, 13,841.16 and 3,380.86 is: 5,073.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.84 : 13,841.16 = 3,380.86 : x
  2. Step 2: Convert to fraction form
    9,223.84/13,841.16 = 3,380.86/x
  3. Step 3: Cross multiply
    9,223.84x = 13,841.16 × 3,380.86
  4. Step 4: Simplify right side
    9,223.84x = 46,795,024.20
  5. Step 5: Solve for x
    x = 46,795,024.20/9,223.84
  6. Step 6: Final answer
    x = 5,073.27

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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.