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Finding the Fourth Proportional to 6,537.40, 9,789.49 and 3,612.49

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Solution

The fourth proportional to 6,537.40, 9,789.49 and 3,612.49 is: 5,409.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.40 : 9,789.49 = 3,612.49 : x
  2. Step 2: Convert to fraction form
    6,537.40/9,789.49 = 3,612.49/x
  3. Step 3: Cross multiply
    6,537.40x = 9,789.49 × 3,612.49
  4. Step 4: Simplify right side
    6,537.40x = 35,364,434.73
  5. Step 5: Solve for x
    x = 35,364,434.73/6,537.40
  6. Step 6: Final answer
    x = 5,409.56

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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.