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Finding the Fourth Proportional to 6,857.76, 9,453.60 and 5,911.68

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Solution

The fourth proportional to 6,857.76, 9,453.60 and 5,911.68 is: 8,149.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.76 : 9,453.60 = 5,911.68 : x
  2. Step 2: Convert to fraction form
    6,857.76/9,453.60 = 5,911.68/x
  3. Step 3: Cross multiply
    6,857.76x = 9,453.60 × 5,911.68
  4. Step 4: Simplify right side
    6,857.76x = 55,886,658.05
  5. Step 5: Solve for x
    x = 55,886,658.05/6,857.76
  6. Step 6: Final answer
    x = 8,149.40

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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.