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Finding the Fourth Proportional to 6,937.57, 9,589.35 and 5,185.54

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Solution

The fourth proportional to 6,937.57, 9,589.35 and 5,185.54 is: 7,167.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.57 : 9,589.35 = 5,185.54 : x
  2. Step 2: Convert to fraction form
    6,937.57/9,589.35 = 5,185.54/x
  3. Step 3: Cross multiply
    6,937.57x = 9,589.35 × 5,185.54
  4. Step 4: Simplify right side
    6,937.57x = 49,725,958.00
  5. Step 5: Solve for x
    x = 49,725,958.00/6,937.57
  6. Step 6: Final answer
    x = 7,167.63

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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.