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Finding the Fourth Proportional to 9,769.41, 13,476.78 and 6,228.90

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Solution

The fourth proportional to 9,769.41, 13,476.78 and 6,228.90 is: 8,592.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.41 : 13,476.78 = 6,228.90 : x
  2. Step 2: Convert to fraction form
    9,769.41/13,476.78 = 6,228.90/x
  3. Step 3: Cross multiply
    9,769.41x = 13,476.78 × 6,228.90
  4. Step 4: Simplify right side
    9,769.41x = 83,945,514.94
  5. Step 5: Solve for x
    x = 83,945,514.94/9,769.41
  6. Step 6: Final answer
    x = 8,592.69

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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.