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Finding the Fourth Proportional to 6,331.62, 8,735.73 and 3,678.06

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Solution

The fourth proportional to 6,331.62, 8,735.73 and 3,678.06 is: 5,074.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.62 : 8,735.73 = 3,678.06 : x
  2. Step 2: Convert to fraction form
    6,331.62/8,735.73 = 3,678.06/x
  3. Step 3: Cross multiply
    6,331.62x = 8,735.73 × 3,678.06
  4. Step 4: Simplify right side
    6,331.62x = 32,130,539.08
  5. Step 5: Solve for x
    x = 32,130,539.08/6,331.62
  6. Step 6: Final answer
    x = 5,074.62

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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.