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Finding the Fourth Proportional to 6,889.47, 10,334.04 and 2,209.29

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Solution

The fourth proportional to 6,889.47, 10,334.04 and 2,209.29 is: 3,313.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.47 : 10,334.04 = 2,209.29 : x
  2. Step 2: Convert to fraction form
    6,889.47/10,334.04 = 2,209.29/x
  3. Step 3: Cross multiply
    6,889.47x = 10,334.04 × 2,209.29
  4. Step 4: Simplify right side
    6,889.47x = 22,830,891.23
  5. Step 5: Solve for x
    x = 22,830,891.23/6,889.47
  6. Step 6: Final answer
    x = 3,313.88

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