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Finding the Fourth Proportional to 8,962.66, 13,441.83 and 2,806.66

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Solution

The fourth proportional to 8,962.66, 13,441.83 and 2,806.66 is: 4,209.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,962.66 : 13,441.83 = 2,806.66 : x
  2. Step 2: Convert to fraction form
    8,962.66/13,441.83 = 2,806.66/x
  3. Step 3: Cross multiply
    8,962.66x = 13,441.83 × 2,806.66
  4. Step 4: Simplify right side
    8,962.66x = 37,726,646.59
  5. Step 5: Solve for x
    x = 37,726,646.59/8,962.66
  6. Step 6: Final answer
    x = 4,209.31

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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.