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Finding the Fourth Proportional to 6,209.47, 9,318.39 and 2,313.88

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Solution

The fourth proportional to 6,209.47, 9,318.39 and 2,313.88 is: 3,472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.47 : 9,318.39 = 2,313.88 : x
  2. Step 2: Convert to fraction form
    6,209.47/9,318.39 = 2,313.88/x
  3. Step 3: Cross multiply
    6,209.47x = 9,318.39 × 2,313.88
  4. Step 4: Simplify right side
    6,209.47x = 21,561,636.25
  5. Step 5: Solve for x
    x = 21,561,636.25/6,209.47
  6. Step 6: Final answer
    x = 3,472.38

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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.