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Finding the Fourth Proportional to 8,809.62, 13,214.67 and 2,569.49

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Solution

The fourth proportional to 8,809.62, 13,214.67 and 2,569.49 is: 3,854.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,809.62 : 13,214.67 = 2,569.49 : x
  2. Step 2: Convert to fraction form
    8,809.62/13,214.67 = 2,569.49/x
  3. Step 3: Cross multiply
    8,809.62x = 13,214.67 × 2,569.49
  4. Step 4: Simplify right side
    8,809.62x = 33,954,896.34
  5. Step 5: Solve for x
    x = 33,954,896.34/8,809.62
  6. Step 6: Final answer
    x = 3,854.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.