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Finding the Fourth Proportional to 6,262.63, 9,395.36 and 2,102.87

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Solution

The fourth proportional to 6,262.63, 9,395.36 and 2,102.87 is: 3,154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.63 : 9,395.36 = 2,102.87 : x
  2. Step 2: Convert to fraction form
    6,262.63/9,395.36 = 2,102.87/x
  3. Step 3: Cross multiply
    6,262.63x = 9,395.36 × 2,102.87
  4. Step 4: Simplify right side
    6,262.63x = 19,757,220.68
  5. Step 5: Solve for x
    x = 19,757,220.68/6,262.63
  6. Step 6: Final answer
    x = 3,154.78

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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.