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Finding the Fourth Proportional to 6,323.32, 8,729.96 and 4,201.84

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Solution

The fourth proportional to 6,323.32, 8,729.96 and 4,201.84 is: 5,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.32 : 8,729.96 = 4,201.84 : x
  2. Step 2: Convert to fraction form
    6,323.32/8,729.96 = 4,201.84/x
  3. Step 3: Cross multiply
    6,323.32x = 8,729.96 × 4,201.84
  4. Step 4: Simplify right side
    6,323.32x = 36,681,895.13
  5. Step 5: Solve for x
    x = 36,681,895.13/6,323.32
  6. Step 6: Final answer
    x = 5,801.05

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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.