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Finding the Fourth Proportional to 6,377.81, 9,568.62 and 3,091.01

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Solution

The fourth proportional to 6,377.81, 9,568.62 and 3,091.01 is: 4,637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.81 : 9,568.62 = 3,091.01 : x
  2. Step 2: Convert to fraction form
    6,377.81/9,568.62 = 3,091.01/x
  3. Step 3: Cross multiply
    6,377.81x = 9,568.62 × 3,091.01
  4. Step 4: Simplify right side
    6,377.81x = 29,576,652.26
  5. Step 5: Solve for x
    x = 29,576,652.26/6,377.81
  6. Step 6: Final answer
    x = 4,637.43

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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.