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Finding the Fourth Proportional to 6,475.36, 9,696.57 and 4,280.80

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Solution

The fourth proportional to 6,475.36, 9,696.57 and 4,280.80 is: 6,410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.36 : 9,696.57 = 4,280.80 : x
  2. Step 2: Convert to fraction form
    6,475.36/9,696.57 = 4,280.80/x
  3. Step 3: Cross multiply
    6,475.36x = 9,696.57 × 4,280.80
  4. Step 4: Simplify right side
    6,475.36x = 41,509,076.86
  5. Step 5: Solve for x
    x = 41,509,076.86/6,475.36
  6. Step 6: Final answer
    x = 6,410.31

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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.