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Finding the Fourth Proportional to 6,268.84, 9,357.49 and 5,812

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Solution

The fourth proportional to 6,268.84, 9,357.49 and 5,812 is: 8,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,268.84 : 9,357.49 = 5,812 : x
  2. Step 2: Convert to fraction form
    6,268.84/9,357.49 = 5,812/x
  3. Step 3: Cross multiply
    6,268.84x = 9,357.49 × 5,812
  4. Step 4: Simplify right side
    6,268.84x = 54,385,731.88
  5. Step 5: Solve for x
    x = 54,385,731.88/6,268.84
  6. Step 6: Final answer
    x = 8,675.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.