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Finding the Fourth Proportional to 6,662.17, 9,194.10 and 3,830.47

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Solution

The fourth proportional to 6,662.17, 9,194.10 and 3,830.47 is: 5,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.17 : 9,194.10 = 3,830.47 : x
  2. Step 2: Convert to fraction form
    6,662.17/9,194.10 = 3,830.47/x
  3. Step 3: Cross multiply
    6,662.17x = 9,194.10 × 3,830.47
  4. Step 4: Simplify right side
    6,662.17x = 35,217,678.26
  5. Step 5: Solve for x
    x = 35,217,678.26/6,662.17
  6. Step 6: Final answer
    x = 5,286.22

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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.