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Finding the Fourth Proportional to 6,643.69, 9,168.18 and 3,659.81

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Solution

The fourth proportional to 6,643.69, 9,168.18 and 3,659.81 is: 5,050.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.69 : 9,168.18 = 3,659.81 : x
  2. Step 2: Convert to fraction form
    6,643.69/9,168.18 = 3,659.81/x
  3. Step 3: Cross multiply
    6,643.69x = 9,168.18 × 3,659.81
  4. Step 4: Simplify right side
    6,643.69x = 33,553,737.28
  5. Step 5: Solve for x
    x = 33,553,737.28/6,643.69
  6. Step 6: Final answer
    x = 5,050.47

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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.