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Finding the Fourth Proportional to 6,751.71, 9,314.78 and 4,361.03

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Solution

The fourth proportional to 6,751.71, 9,314.78 and 4,361.03 is: 6,016.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,751.71 : 9,314.78 = 4,361.03 : x
  2. Step 2: Convert to fraction form
    6,751.71/9,314.78 = 4,361.03/x
  3. Step 3: Cross multiply
    6,751.71x = 9,314.78 × 4,361.03
  4. Step 4: Simplify right side
    6,751.71x = 40,621,966.64
  5. Step 5: Solve for x
    x = 40,621,966.64/6,751.71
  6. Step 6: Final answer
    x = 6,016.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.