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Finding the Fourth Proportional to 6,839.43, 9,437.90 and 4,477.47

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Solution

The fourth proportional to 6,839.43, 9,437.90 and 4,477.47 is: 6,178.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,839.43 : 9,437.90 = 4,477.47 : x
  2. Step 2: Convert to fraction form
    6,839.43/9,437.90 = 4,477.47/x
  3. Step 3: Cross multiply
    6,839.43x = 9,437.90 × 4,477.47
  4. Step 4: Simplify right side
    6,839.43x = 42,257,891.73
  5. Step 5: Solve for x
    x = 42,257,891.73/6,839.43
  6. Step 6: Final answer
    x = 6,178.57

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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.