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Finding the Fourth Proportional to 6,641.63, 9,961.41 and 1,711.09

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Solution

The fourth proportional to 6,641.63, 9,961.41 and 1,711.09 is: 2,566.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.63 : 9,961.41 = 1,711.09 : x
  2. Step 2: Convert to fraction form
    6,641.63/9,961.41 = 1,711.09/x
  3. Step 3: Cross multiply
    6,641.63x = 9,961.41 × 1,711.09
  4. Step 4: Simplify right side
    6,641.63x = 17,044,887.91
  5. Step 5: Solve for x
    x = 17,044,887.91/6,641.63
  6. Step 6: Final answer
    x = 2,566.37

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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.