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Finding the Fourth Proportional to 6,735.24, 9,294.55 and 3,751.00

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Solution

The fourth proportional to 6,735.24, 9,294.55 and 3,751.00 is: 5,176.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.24 : 9,294.55 = 3,751.00 : x
  2. Step 2: Convert to fraction form
    6,735.24/9,294.55 = 3,751.00/x
  3. Step 3: Cross multiply
    6,735.24x = 9,294.55 × 3,751.00
  4. Step 4: Simplify right side
    6,735.24x = 34,863,824.44
  5. Step 5: Solve for x
    x = 34,863,824.44/6,735.24
  6. Step 6: Final answer
    x = 5,176.33

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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.