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Finding the Fourth Proportional to 6,952.31, 9,594.43 and 3,808.70

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Solution

The fourth proportional to 6,952.31, 9,594.43 and 3,808.70 is: 5,256.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.31 : 9,594.43 = 3,808.70 : x
  2. Step 2: Convert to fraction form
    6,952.31/9,594.43 = 3,808.70/x
  3. Step 3: Cross multiply
    6,952.31x = 9,594.43 × 3,808.70
  4. Step 4: Simplify right side
    6,952.31x = 36,542,320.01
  5. Step 5: Solve for x
    x = 36,542,320.01/6,952.31
  6. Step 6: Final answer
    x = 5,256.14

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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.