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Finding the Fourth Proportional to 6,455.20, 9,658.36 and 3,824.12

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Solution

The fourth proportional to 6,455.20, 9,658.36 and 3,824.12 is: 5,721.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,455.20 : 9,658.36 = 3,824.12 : x
  2. Step 2: Convert to fraction form
    6,455.20/9,658.36 = 3,824.12/x
  3. Step 3: Cross multiply
    6,455.20x = 9,658.36 × 3,824.12
  4. Step 4: Simplify right side
    6,455.20x = 36,934,684.13
  5. Step 5: Solve for x
    x = 36,934,684.13/6,455.20
  6. Step 6: Final answer
    x = 5,721.70

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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.