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Finding the Fourth Proportional to 6,724.34, 9,279.06 and 3,740

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Solution

The fourth proportional to 6,724.34, 9,279.06 and 3,740 is: 5,160.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,724.34 : 9,279.06 = 3,740 : x
  2. Step 2: Convert to fraction form
    6,724.34/9,279.06 = 3,740/x
  3. Step 3: Cross multiply
    6,724.34x = 9,279.06 × 3,740
  4. Step 4: Simplify right side
    6,724.34x = 34,703,684.40
  5. Step 5: Solve for x
    x = 34,703,684.40/6,724.34
  6. Step 6: Final answer
    x = 5,160.91

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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.