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Finding the Fourth Proportional to 6,425.96, 9,638.94 and 2,530.28

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Solution

The fourth proportional to 6,425.96, 9,638.94 and 2,530.28 is: 3,795.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.96 : 9,638.94 = 2,530.28 : x
  2. Step 2: Convert to fraction form
    6,425.96/9,638.94 = 2,530.28/x
  3. Step 3: Cross multiply
    6,425.96x = 9,638.94 × 2,530.28
  4. Step 4: Simplify right side
    6,425.96x = 24,389,217.10
  5. Step 5: Solve for x
    x = 24,389,217.10/6,425.96
  6. Step 6: Final answer
    x = 3,795.42

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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.