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Finding the Fourth Proportional to 6,905.88, 9,535.74 and 5,629.97

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Solution

The fourth proportional to 6,905.88, 9,535.74 and 5,629.97 is: 7,773.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.88 : 9,535.74 = 5,629.97 : x
  2. Step 2: Convert to fraction form
    6,905.88/9,535.74 = 5,629.97/x
  3. Step 3: Cross multiply
    6,905.88x = 9,535.74 × 5,629.97
  4. Step 4: Simplify right side
    6,905.88x = 53,685,882.45
  5. Step 5: Solve for x
    x = 53,685,882.45/6,905.88
  6. Step 6: Final answer
    x = 7,773.94

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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.