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Finding the Fourth Proportional to 6,952.89, 9,594.97 and 3,809.07

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Solution

The fourth proportional to 6,952.89, 9,594.97 and 3,809.07 is: 5,256.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.89 : 9,594.97 = 3,809.07 : x
  2. Step 2: Convert to fraction form
    6,952.89/9,594.97 = 3,809.07/x
  3. Step 3: Cross multiply
    6,952.89x = 9,594.97 × 3,809.07
  4. Step 4: Simplify right side
    6,952.89x = 36,547,912.38
  5. Step 5: Solve for x
    x = 36,547,912.38/6,952.89
  6. Step 6: Final answer
    x = 5,256.51

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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.