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Finding the Fourth Proportional to 6,839.14, 9,438.70 and 4,188.30

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Solution

The fourth proportional to 6,839.14, 9,438.70 and 4,188.30 is: 5,780.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.14 : 9,438.70 = 4,188.30 : x
  2. Step 2: Convert to fraction form
    6,839.14/9,438.70 = 4,188.30/x
  3. Step 3: Cross multiply
    6,839.14x = 9,438.70 × 4,188.30
  4. Step 4: Simplify right side
    6,839.14x = 39,532,107.21
  5. Step 5: Solve for x
    x = 39,532,107.21/6,839.14
  6. Step 6: Final answer
    x = 5,780.27

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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.