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Finding the Fourth Proportional to 6,438.82, 9,655.14 and 3,148.06

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Solution

The fourth proportional to 6,438.82, 9,655.14 and 3,148.06 is: 4,720.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.82 : 9,655.14 = 3,148.06 : x
  2. Step 2: Convert to fraction form
    6,438.82/9,655.14 = 3,148.06/x
  3. Step 3: Cross multiply
    6,438.82x = 9,655.14 × 3,148.06
  4. Step 4: Simplify right side
    6,438.82x = 30,394,960.03
  5. Step 5: Solve for x
    x = 30,394,960.03/6,438.82
  6. Step 6: Final answer
    x = 4,720.58

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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.