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Finding the Fourth Proportional to 6,537.63, 9,806.45 and 2,641.13

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Solution

The fourth proportional to 6,537.63, 9,806.45 and 2,641.13 is: 3,961.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.63 : 9,806.45 = 2,641.13 : x
  2. Step 2: Convert to fraction form
    6,537.63/9,806.45 = 2,641.13/x
  3. Step 3: Cross multiply
    6,537.63x = 9,806.45 × 2,641.13
  4. Step 4: Simplify right side
    6,537.63x = 25,900,047.05
  5. Step 5: Solve for x
    x = 25,900,047.05/6,537.63
  6. Step 6: Final answer
    x = 3,961.69

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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.