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Finding the Fourth Proportional to 6,606.82, 9,114.42 and 5,282.38

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Solution

The fourth proportional to 6,606.82, 9,114.42 and 5,282.38 is: 7,287.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,606.82 : 9,114.42 = 5,282.38 : x
  2. Step 2: Convert to fraction form
    6,606.82/9,114.42 = 5,282.38/x
  3. Step 3: Cross multiply
    6,606.82x = 9,114.42 × 5,282.38
  4. Step 4: Simplify right side
    6,606.82x = 48,145,829.92
  5. Step 5: Solve for x
    x = 48,145,829.92/6,606.82
  6. Step 6: Final answer
    x = 7,287.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.