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Finding the Fourth Proportional to 6,265.41, 8,646.26 and 3,432.96

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Solution

The fourth proportional to 6,265.41, 8,646.26 and 3,432.96 is: 4,737.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.41 : 8,646.26 = 3,432.96 : x
  2. Step 2: Convert to fraction form
    6,265.41/8,646.26 = 3,432.96/x
  3. Step 3: Cross multiply
    6,265.41x = 8,646.26 × 3,432.96
  4. Step 4: Simplify right side
    6,265.41x = 29,682,247.56
  5. Step 5: Solve for x
    x = 29,682,247.56/6,265.41
  6. Step 6: Final answer
    x = 4,737.48

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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.