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Finding the Fourth Proportional to 6,769.14, 9,341.78 and 3,784.97

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Solution

The fourth proportional to 6,769.14, 9,341.78 and 3,784.97 is: 5,223.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,769.14 : 9,341.78 = 3,784.97 : x
  2. Step 2: Convert to fraction form
    6,769.14/9,341.78 = 3,784.97/x
  3. Step 3: Cross multiply
    6,769.14x = 9,341.78 × 3,784.97
  4. Step 4: Simplify right side
    6,769.14x = 35,358,291.41
  5. Step 5: Solve for x
    x = 35,358,291.41/6,769.14
  6. Step 6: Final answer
    x = 5,223.45

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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.