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Finding the Fourth Proportional to 6,537.43, 9,806.13 and 1,857.45

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Solution

The fourth proportional to 6,537.43, 9,806.13 and 1,857.45 is: 2,786.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.43 : 9,806.13 = 1,857.45 : x
  2. Step 2: Convert to fraction form
    6,537.43/9,806.13 = 1,857.45/x
  3. Step 3: Cross multiply
    6,537.43x = 9,806.13 × 1,857.45
  4. Step 4: Simplify right side
    6,537.43x = 18,214,396.17
  5. Step 5: Solve for x
    x = 18,214,396.17/6,537.43
  6. Step 6: Final answer
    x = 2,786.17

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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.