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Finding the Fourth Proportional to 6,839.76, 9,437.13 and 4,186.20

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Solution

The fourth proportional to 6,839.76, 9,437.13 and 4,186.20 is: 5,775.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.76 : 9,437.13 = 4,186.20 : x
  2. Step 2: Convert to fraction form
    6,839.76/9,437.13 = 4,186.20/x
  3. Step 3: Cross multiply
    6,839.76x = 9,437.13 × 4,186.20
  4. Step 4: Simplify right side
    6,839.76x = 39,505,713.61
  5. Step 5: Solve for x
    x = 39,505,713.61/6,839.76
  6. Step 6: Final answer
    x = 5,775.89

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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.