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Finding the Fourth Proportional to 8,438.67, 11,629.40 and 6,937.47

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Solution

The fourth proportional to 8,438.67, 11,629.40 and 6,937.47 is: 9,560.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.67 : 11,629.40 = 6,937.47 : x
  2. Step 2: Convert to fraction form
    8,438.67/11,629.40 = 6,937.47/x
  3. Step 3: Cross multiply
    8,438.67x = 11,629.40 × 6,937.47
  4. Step 4: Simplify right side
    8,438.67x = 80,678,578.93
  5. Step 5: Solve for x
    x = 80,678,578.93/8,438.67
  6. Step 6: Final answer
    x = 9,560.58

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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.