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Finding the Fourth Proportional to 6,640.65, 9,164.69 and 3,809.02

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Solution

The fourth proportional to 6,640.65, 9,164.69 and 3,809.02 is: 5,256.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.65 : 9,164.69 = 3,809.02 : x
  2. Step 2: Convert to fraction form
    6,640.65/9,164.69 = 3,809.02/x
  3. Step 3: Cross multiply
    6,640.65x = 9,164.69 × 3,809.02
  4. Step 4: Simplify right side
    6,640.65x = 34,908,487.50
  5. Step 5: Solve for x
    x = 34,908,487.50/6,640.65
  6. Step 6: Final answer
    x = 5,256.79

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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.