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Finding the Fourth Proportional to 6,975.34, 9,626.02 and 3,991.30

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Solution

The fourth proportional to 6,975.34, 9,626.02 and 3,991.30 is: 5,508.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.34 : 9,626.02 = 3,991.30 : x
  2. Step 2: Convert to fraction form
    6,975.34/9,626.02 = 3,991.30/x
  3. Step 3: Cross multiply
    6,975.34x = 9,626.02 × 3,991.30
  4. Step 4: Simplify right side
    6,975.34x = 38,420,299.58
  5. Step 5: Solve for x
    x = 38,420,299.58/6,975.34
  6. Step 6: Final answer
    x = 5,508.02

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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.