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Finding the Fourth Proportional to 6,684.08, 9,224.17 and 3,699.84

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Solution

The fourth proportional to 6,684.08, 9,224.17 and 3,699.84 is: 5,105.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.08 : 9,224.17 = 3,699.84 : x
  2. Step 2: Convert to fraction form
    6,684.08/9,224.17 = 3,699.84/x
  3. Step 3: Cross multiply
    6,684.08x = 9,224.17 × 3,699.84
  4. Step 4: Simplify right side
    6,684.08x = 34,127,953.13
  5. Step 5: Solve for x
    x = 34,127,953.13/6,684.08
  6. Step 6: Final answer
    x = 5,105.86

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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.