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Finding the Fourth Proportional to 6,241.06, 9,398.50 and 5,429.14

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Solution

The fourth proportional to 6,241.06, 9,398.50 and 5,429.14 is: 8,175.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,241.06 : 9,398.50 = 5,429.14 : x
  2. Step 2: Convert to fraction form
    6,241.06/9,398.50 = 5,429.14/x
  3. Step 3: Cross multiply
    6,241.06x = 9,398.50 × 5,429.14
  4. Step 4: Simplify right side
    6,241.06x = 51,025,772.29
  5. Step 5: Solve for x
    x = 51,025,772.29/6,241.06
  6. Step 6: Final answer
    x = 8,175.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.