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Finding the Fourth Proportional to 6,643.17, 9,165.69 and 4,286.69

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Solution

The fourth proportional to 6,643.17, 9,165.69 and 4,286.69 is: 5,914.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.17 : 9,165.69 = 4,286.69 : x
  2. Step 2: Convert to fraction form
    6,643.17/9,165.69 = 4,286.69/x
  3. Step 3: Cross multiply
    6,643.17x = 9,165.69 × 4,286.69
  4. Step 4: Simplify right side
    6,643.17x = 39,290,425.84
  5. Step 5: Solve for x
    x = 39,290,425.84/6,643.17
  6. Step 6: Final answer
    x = 5,914.41

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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.