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Finding the Fourth Proportional to 6,740.87, 9,302.27 and 3,756.64

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Solution

The fourth proportional to 6,740.87, 9,302.27 and 3,756.64 is: 5,184.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,740.87 : 9,302.27 = 3,756.64 : x
  2. Step 2: Convert to fraction form
    6,740.87/9,302.27 = 3,756.64/x
  3. Step 3: Cross multiply
    6,740.87x = 9,302.27 × 3,756.64
  4. Step 4: Simplify right side
    6,740.87x = 34,945,279.57
  5. Step 5: Solve for x
    x = 34,945,279.57/6,740.87
  6. Step 6: Final answer
    x = 5,184.09

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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.