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Finding the Fourth Proportional to 8,209.89, 11,329.07 and 6,445.71

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Solution

The fourth proportional to 8,209.89, 11,329.07 and 6,445.71 is: 8,894.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.89 : 11,329.07 = 6,445.71 : x
  2. Step 2: Convert to fraction form
    8,209.89/11,329.07 = 6,445.71/x
  3. Step 3: Cross multiply
    8,209.89x = 11,329.07 × 6,445.71
  4. Step 4: Simplify right side
    8,209.89x = 73,023,867.56
  5. Step 5: Solve for x
    x = 73,023,867.56/8,209.89
  6. Step 6: Final answer
    x = 8,894.62

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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.