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Finding the Fourth Proportional to 6,268.84, 9,395.92 and 3,147.16

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Solution

The fourth proportional to 6,268.84, 9,395.92 and 3,147.16 is: 4,717.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.84 : 9,395.92 = 3,147.16 : x
  2. Step 2: Convert to fraction form
    6,268.84/9,395.92 = 3,147.16/x
  3. Step 3: Cross multiply
    6,268.84x = 9,395.92 × 3,147.16
  4. Step 4: Simplify right side
    6,268.84x = 29,570,463.59
  5. Step 5: Solve for x
    x = 29,570,463.59/6,268.84
  6. Step 6: Final answer
    x = 4,717.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.