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Finding the Fourth Proportional to 6,938.26, 9,575.04 and 3,954.56

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Solution

The fourth proportional to 6,938.26, 9,575.04 and 3,954.56 is: 5,457.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.26 : 9,575.04 = 3,954.56 : x
  2. Step 2: Convert to fraction form
    6,938.26/9,575.04 = 3,954.56/x
  3. Step 3: Cross multiply
    6,938.26x = 9,575.04 × 3,954.56
  4. Step 4: Simplify right side
    6,938.26x = 37,865,070.18
  5. Step 5: Solve for x
    x = 37,865,070.18/6,938.26
  6. Step 6: Final answer
    x = 5,457.43

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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.