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Finding the Fourth Proportional to 6,730.98, 9,289.26 and 3,747.57

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Solution

The fourth proportional to 6,730.98, 9,289.26 and 3,747.57 is: 5,171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,730.98 : 9,289.26 = 3,747.57 : x
  2. Step 2: Convert to fraction form
    6,730.98/9,289.26 = 3,747.57/x
  3. Step 3: Cross multiply
    6,730.98x = 9,289.26 × 3,747.57
  4. Step 4: Simplify right side
    6,730.98x = 34,812,152.10
  5. Step 5: Solve for x
    x = 34,812,152.10/6,730.98
  6. Step 6: Final answer
    x = 5,171.93

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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.