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Finding the Fourth Proportional to 8,209.29, 11,329.65 and 4,673.22

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Solution

The fourth proportional to 8,209.29, 11,329.65 and 4,673.22 is: 6,449.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.29 : 11,329.65 = 4,673.22 : x
  2. Step 2: Convert to fraction form
    8,209.29/11,329.65 = 4,673.22/x
  3. Step 3: Cross multiply
    8,209.29x = 11,329.65 × 4,673.22
  4. Step 4: Simplify right side
    8,209.29x = 52,945,946.97
  5. Step 5: Solve for x
    x = 52,945,946.97/8,209.29
  6. Step 6: Final answer
    x = 6,449.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.