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Finding the Fourth Proportional to 6,624.01, 9,141.14 and 3,639.80

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Solution

The fourth proportional to 6,624.01, 9,141.14 and 3,639.80 is: 5,022.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,624.01 : 9,141.14 = 3,639.80 : x
  2. Step 2: Convert to fraction form
    6,624.01/9,141.14 = 3,639.80/x
  3. Step 3: Cross multiply
    6,624.01x = 9,141.14 × 3,639.80
  4. Step 4: Simplify right side
    6,624.01x = 33,271,921.37
  5. Step 5: Solve for x
    x = 33,271,921.37/6,624.01
  6. Step 6: Final answer
    x = 5,022.93

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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.