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Finding the Fourth Proportional to 6,093.68, 8,400.66 and 4,324.64

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Solution

The fourth proportional to 6,093.68, 8,400.66 and 4,324.64 is: 5,961.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,093.68 : 8,400.66 = 4,324.64 : x
  2. Step 2: Convert to fraction form
    6,093.68/8,400.66 = 4,324.64/x
  3. Step 3: Cross multiply
    6,093.68x = 8,400.66 × 4,324.64
  4. Step 4: Simplify right side
    6,093.68x = 36,329,830.26
  5. Step 5: Solve for x
    x = 36,329,830.26/6,093.68
  6. Step 6: Final answer
    x = 5,961.89

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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.