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Finding the Fourth Proportional to 6,447.12, 8,893.80 and 4,085.52

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Solution

The fourth proportional to 6,447.12, 8,893.80 and 4,085.52 is: 5,635.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,447.12 : 8,893.80 = 4,085.52 : x
  2. Step 2: Convert to fraction form
    6,447.12/8,893.80 = 4,085.52/x
  3. Step 3: Cross multiply
    6,447.12x = 8,893.80 × 4,085.52
  4. Step 4: Simplify right side
    6,447.12x = 36,335,797.78
  5. Step 5: Solve for x
    x = 36,335,797.78/6,447.12
  6. Step 6: Final answer
    x = 5,635.97

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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.