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Finding the Fourth Proportional to 6,786.46, 9,365.25 and 3,802.42

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Solution

The fourth proportional to 6,786.46, 9,365.25 and 3,802.42 is: 5,247.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,786.46 : 9,365.25 = 3,802.42 : x
  2. Step 2: Convert to fraction form
    6,786.46/9,365.25 = 3,802.42/x
  3. Step 3: Cross multiply
    6,786.46x = 9,365.25 × 3,802.42
  4. Step 4: Simplify right side
    6,786.46x = 35,610,613.91
  5. Step 5: Solve for x
    x = 35,610,613.91/6,786.46
  6. Step 6: Final answer
    x = 5,247.30

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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.