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Finding the Fourth Proportional to 6,684.09, 9,224.18 and 3,699.84

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Solution

The fourth proportional to 6,684.09, 9,224.18 and 3,699.84 is: 5,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.09 : 9,224.18 = 3,699.84 : x
  2. Step 2: Convert to fraction form
    6,684.09/9,224.18 = 3,699.84/x
  3. Step 3: Cross multiply
    6,684.09x = 9,224.18 × 3,699.84
  4. Step 4: Simplify right side
    6,684.09x = 34,127,971.63
  5. Step 5: Solve for x
    x = 34,127,971.63/6,684.09
  6. Step 6: Final answer
    x = 5,105.85

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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.