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Finding the Fourth Proportional to 6,537.63, 9,813.47 and 2,644.59

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Solution

The fourth proportional to 6,537.63, 9,813.47 and 2,644.59 is: 3,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.63 : 9,813.47 = 2,644.59 : x
  2. Step 2: Convert to fraction form
    6,537.63/9,813.47 = 2,644.59/x
  3. Step 3: Cross multiply
    6,537.63x = 9,813.47 × 2,644.59
  4. Step 4: Simplify right side
    6,537.63x = 25,952,591.40
  5. Step 5: Solve for x
    x = 25,952,591.40/6,537.63
  6. Step 6: Final answer
    x = 3,969.72

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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.