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Finding the Fourth Proportional to 6,322.60, 8,725.05 and 3,633.82

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Solution

The fourth proportional to 6,322.60, 8,725.05 and 3,633.82 is: 5,014.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.60 : 8,725.05 = 3,633.82 : x
  2. Step 2: Convert to fraction form
    6,322.60/8,725.05 = 3,633.82/x
  3. Step 3: Cross multiply
    6,322.60x = 8,725.05 × 3,633.82
  4. Step 4: Simplify right side
    6,322.60x = 31,705,261.19
  5. Step 5: Solve for x
    x = 31,705,261.19/6,322.60
  6. Step 6: Final answer
    x = 5,014.59

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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.