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Finding the Fourth Proportional to 6,366.32, 9,531 and 3,893.59

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Solution

The fourth proportional to 6,366.32, 9,531 and 3,893.59 is: 5,829.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.32 : 9,531 = 3,893.59 : x
  2. Step 2: Convert to fraction form
    6,366.32/9,531 = 3,893.59/x
  3. Step 3: Cross multiply
    6,366.32x = 9,531 × 3,893.59
  4. Step 4: Simplify right side
    6,366.32x = 37,109,818.20
  5. Step 5: Solve for x
    x = 37,109,818.20/6,366.32
  6. Step 6: Final answer
    x = 5,829.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.