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Finding the Fourth Proportional to 6,447.20, 9,658.16 and 5,760.80

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Solution

The fourth proportional to 6,447.20, 9,658.16 and 5,760.80 is: 8,629.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.20 : 9,658.16 = 5,760.80 : x
  2. Step 2: Convert to fraction form
    6,447.20/9,658.16 = 5,760.80/x
  3. Step 3: Cross multiply
    6,447.20x = 9,658.16 × 5,760.80
  4. Step 4: Simplify right side
    6,447.20x = 55,638,728.13
  5. Step 5: Solve for x
    x = 55,638,728.13/6,447.20
  6. Step 6: Final answer
    x = 8,629.91

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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.