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Finding the Fourth Proportional to 6,425.01, 9,633.87 and 3,829.77

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Solution

The fourth proportional to 6,425.01, 9,633.87 and 3,829.77 is: 5,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.01 : 9,633.87 = 3,829.77 : x
  2. Step 2: Convert to fraction form
    6,425.01/9,633.87 = 3,829.77/x
  3. Step 3: Cross multiply
    6,425.01x = 9,633.87 × 3,829.77
  4. Step 4: Simplify right side
    6,425.01x = 36,895,506.31
  5. Step 5: Solve for x
    x = 36,895,506.31/6,425.01
  6. Step 6: Final answer
    x = 5,742.48

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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.