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Finding the Fourth Proportional to 6,402.25, 8,829.58 and 4,163.31

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Solution

The fourth proportional to 6,402.25, 8,829.58 and 4,163.31 is: 5,741.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.25 : 8,829.58 = 4,163.31 : x
  2. Step 2: Convert to fraction form
    6,402.25/8,829.58 = 4,163.31/x
  3. Step 3: Cross multiply
    6,402.25x = 8,829.58 × 4,163.31
  4. Step 4: Simplify right side
    6,402.25x = 36,760,235.19
  5. Step 5: Solve for x
    x = 36,760,235.19/6,402.25
  6. Step 6: Final answer
    x = 5,741.77

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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.