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Finding the Fourth Proportional to 6,256.50, 8,633.97 and 3,462.42

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Solution

The fourth proportional to 6,256.50, 8,633.97 and 3,462.42 is: 4,778.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,256.50 : 8,633.97 = 3,462.42 : x
  2. Step 2: Convert to fraction form
    6,256.50/8,633.97 = 3,462.42/x
  3. Step 3: Cross multiply
    6,256.50x = 8,633.97 × 3,462.42
  4. Step 4: Simplify right side
    6,256.50x = 29,894,430.41
  5. Step 5: Solve for x
    x = 29,894,430.41/6,256.50
  6. Step 6: Final answer
    x = 4,778.14

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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.