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Finding the Fourth Proportional to 6,857.20, 9,494.04 and 6,511.60

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Solution

The fourth proportional to 6,857.20, 9,494.04 and 6,511.60 is: 9,015.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.20 : 9,494.04 = 6,511.60 : x
  2. Step 2: Convert to fraction form
    6,857.20/9,494.04 = 6,511.60/x
  3. Step 3: Cross multiply
    6,857.20x = 9,494.04 × 6,511.60
  4. Step 4: Simplify right side
    6,857.20x = 61,821,390.86
  5. Step 5: Solve for x
    x = 61,821,390.86/6,857.20
  6. Step 6: Final answer
    x = 9,015.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.