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Finding the Fourth Proportional to 7,138, 9,839.64 and 6,137.92

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Solution

The fourth proportional to 7,138, 9,839.64 and 6,137.92 is: 8,461.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138 : 9,839.64 = 6,137.92 : x
  2. Step 2: Convert to fraction form
    7,138/9,839.64 = 6,137.92/x
  3. Step 3: Cross multiply
    7,138x = 9,839.64 × 6,137.92
  4. Step 4: Simplify right side
    7,138x = 60,394,923.15
  5. Step 5: Solve for x
    x = 60,394,923.15/7,138
  6. Step 6: Final answer
    x = 8,461.04

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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.