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Finding the Fourth Proportional to 6,805.95, 9,393.74 and 4,446.73

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Solution

The fourth proportional to 6,805.95, 9,393.74 and 4,446.73 is: 6,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.95 : 9,393.74 = 4,446.73 : x
  2. Step 2: Convert to fraction form
    6,805.95/9,393.74 = 4,446.73/x
  3. Step 3: Cross multiply
    6,805.95x = 9,393.74 × 4,446.73
  4. Step 4: Simplify right side
    6,805.95x = 41,771,425.47
  5. Step 5: Solve for x
    x = 41,771,425.47/6,805.95
  6. Step 6: Final answer
    x = 6,137.49

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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.