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Finding the Fourth Proportional to 6,688.69, 9,232.83 and 3,894.19

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Solution

The fourth proportional to 6,688.69, 9,232.83 and 3,894.19 is: 5,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.69 : 9,232.83 = 3,894.19 : x
  2. Step 2: Convert to fraction form
    6,688.69/9,232.83 = 3,894.19/x
  3. Step 3: Cross multiply
    6,688.69x = 9,232.83 × 3,894.19
  4. Step 4: Simplify right side
    6,688.69x = 35,954,371.18
  5. Step 5: Solve for x
    x = 35,954,371.18/6,688.69
  6. Step 6: Final answer
    x = 5,375.40

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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.