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Finding the Fourth Proportional to 6,809.65, 9,397.75 and 3,785.11

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Solution

The fourth proportional to 6,809.65, 9,397.75 and 3,785.11 is: 5,223.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.65 : 9,397.75 = 3,785.11 : x
  2. Step 2: Convert to fraction form
    6,809.65/9,397.75 = 3,785.11/x
  3. Step 3: Cross multiply
    6,809.65x = 9,397.75 × 3,785.11
  4. Step 4: Simplify right side
    6,809.65x = 35,571,517.50
  5. Step 5: Solve for x
    x = 35,571,517.50/6,809.65
  6. Step 6: Final answer
    x = 5,223.69

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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.