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Finding the Fourth Proportional to 6,735.74, 9,294.45 and 3,903.09

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Solution

The fourth proportional to 6,735.74, 9,294.45 and 3,903.09 is: 5,385.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.74 : 9,294.45 = 3,903.09 : x
  2. Step 2: Convert to fraction form
    6,735.74/9,294.45 = 3,903.09/x
  3. Step 3: Cross multiply
    6,735.74x = 9,294.45 × 3,903.09
  4. Step 4: Simplify right side
    6,735.74x = 36,277,025.36
  5. Step 5: Solve for x
    x = 36,277,025.36/6,735.74
  6. Step 6: Final answer
    x = 5,385.75

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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.