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Finding the Fourth Proportional to 6,853.26, 9,453.84 and 4,611.30

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Solution

The fourth proportional to 6,853.26, 9,453.84 and 4,611.30 is: 6,361.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.26 : 9,453.84 = 4,611.30 : x
  2. Step 2: Convert to fraction form
    6,853.26/9,453.84 = 4,611.30/x
  3. Step 3: Cross multiply
    6,853.26x = 9,453.84 × 4,611.30
  4. Step 4: Simplify right side
    6,853.26x = 43,594,492.39
  5. Step 5: Solve for x
    x = 43,594,492.39/6,853.26
  6. Step 6: Final answer
    x = 6,361.13

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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.