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Finding the Fourth Proportional to 6,735.83, 9,294.89 and 3,752.37

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Solution

The fourth proportional to 6,735.83, 9,294.89 and 3,752.37 is: 5,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.83 : 9,294.89 = 3,752.37 : x
  2. Step 2: Convert to fraction form
    6,735.83/9,294.89 = 3,752.37/x
  3. Step 3: Cross multiply
    6,735.83x = 9,294.89 × 3,752.37
  4. Step 4: Simplify right side
    6,735.83x = 34,877,847.63
  5. Step 5: Solve for x
    x = 34,877,847.63/6,735.83
  6. Step 6: Final answer
    x = 5,177.96

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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.