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Finding the Fourth Proportional to 6,209.92, 8,569.38 and 3,556.72

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Solution

The fourth proportional to 6,209.92, 8,569.38 and 3,556.72 is: 4,908.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.92 : 8,569.38 = 3,556.72 : x
  2. Step 2: Convert to fraction form
    6,209.92/8,569.38 = 3,556.72/x
  3. Step 3: Cross multiply
    6,209.92x = 8,569.38 × 3,556.72
  4. Step 4: Simplify right side
    6,209.92x = 30,478,885.23
  5. Step 5: Solve for x
    x = 30,478,885.23/6,209.92
  6. Step 6: Final answer
    x = 4,908.10

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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.