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Finding the Fourth Proportional to 6,537.91, 9,806.05 and 2,377.75

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Solution

The fourth proportional to 6,537.91, 9,806.05 and 2,377.75 is: 3,566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.91 : 9,806.05 = 2,377.75 : x
  2. Step 2: Convert to fraction form
    6,537.91/9,806.05 = 2,377.75/x
  3. Step 3: Cross multiply
    6,537.91x = 9,806.05 × 2,377.75
  4. Step 4: Simplify right side
    6,537.91x = 23,316,335.39
  5. Step 5: Solve for x
    x = 23,316,335.39/6,537.91
  6. Step 6: Final answer
    x = 3,566.33

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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.