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Finding the Fourth Proportional to 6,798.44, 9,377.54 and 4,912.82

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Solution

The fourth proportional to 6,798.44, 9,377.54 and 4,912.82 is: 6,776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,798.44 : 9,377.54 = 4,912.82 : x
  2. Step 2: Convert to fraction form
    6,798.44/9,377.54 = 4,912.82/x
  3. Step 3: Cross multiply
    6,798.44x = 9,377.54 × 4,912.82
  4. Step 4: Simplify right side
    6,798.44x = 46,070,166.06
  5. Step 5: Solve for x
    x = 46,070,166.06/6,798.44
  6. Step 6: Final answer
    x = 6,776.58

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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.