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Finding the Fourth Proportional to 6,256.75, 8,634.33 and 3,462.25

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Solution

The fourth proportional to 6,256.75, 8,634.33 and 3,462.25 is: 4,777.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,256.75 : 8,634.33 = 3,462.25 : x
  2. Step 2: Convert to fraction form
    6,256.75/8,634.33 = 3,462.25/x
  3. Step 3: Cross multiply
    6,256.75x = 8,634.33 × 3,462.25
  4. Step 4: Simplify right side
    6,256.75x = 29,894,209.04
  5. Step 5: Solve for x
    x = 29,894,209.04/6,256.75
  6. Step 6: Final answer
    x = 4,777.91

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