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Finding the Fourth Proportional to 6,724.60, 9,279.87 and 3,740.42

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Solution

The fourth proportional to 6,724.60, 9,279.87 and 3,740.42 is: 5,161.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724.60 : 9,279.87 = 3,740.42 : x
  2. Step 2: Convert to fraction form
    6,724.60/9,279.87 = 3,740.42/x
  3. Step 3: Cross multiply
    6,724.60x = 9,279.87 × 3,740.42
  4. Step 4: Simplify right side
    6,724.60x = 34,710,611.35
  5. Step 5: Solve for x
    x = 34,710,611.35/6,724.60
  6. Step 6: Final answer
    x = 5,161.74

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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.