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Finding the Fourth Proportional to 6,765.99, 9,332.96 and 4,115.22

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Solution

The fourth proportional to 6,765.99, 9,332.96 and 4,115.22 is: 5,676.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.99 : 9,332.96 = 4,115.22 : x
  2. Step 2: Convert to fraction form
    6,765.99/9,332.96 = 4,115.22/x
  3. Step 3: Cross multiply
    6,765.99x = 9,332.96 × 4,115.22
  4. Step 4: Simplify right side
    6,765.99x = 38,407,163.08
  5. Step 5: Solve for x
    x = 38,407,163.08/6,765.99
  6. Step 6: Final answer
    x = 5,676.50

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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.